Maybe this will be of some value:
A word of Knowledge reveals God's mind. His knowledge about us, and the world around us.
I can go along with this.
A word of Wisdom reveals God's will. Not what will happen in the future, but His will for our future. If we reject the word it doesn't change that the word was His will
I would reject a word like if it wasn't a confirmation that the Holy Spirit already told me.
Prophecy reveals God's heart. Because God's heart for us often contains elements of His mind and His will for us, prophecy will often carry with it words of wisdom and knowledge. When this happens it is still prophecy.
Although this is half-right, as long as the "God's will" part is in the area of "The will of God is that you believe on Him whom He has sent", or "The will of God is your sanctification". But if "God's will" is in the form of specific guidance, then I wouldn't accept it as His will, because He is no gossip and doesn't tell others His will for me unless He tells me first.
Example: A word of knowledge could be: "I've called you to be a school teacher." However, the recipient doesn't have any aspirations for such a thing. Therefore the prophetic word delivers the word of wisdom but also some words of knowledge that the minister could not have known, "I was even preparing you at a young age when you would teach your younger brother math. And later at youth group when you were asked to mentor the new kids". These things are delivered in a prophetic word along with encouragement and exhortation in order to reveal God's heart, because what God is trying to express is that you may not realize it yet, but you've been created to do that job, you're going to be great at it and you are going to love it... THAT is God's heart that cannot be revealed with a word of Wisdom alone, yet the entire spoken dialog would still be a prophetic word.
I would never accept a word like that if the Lord hasn't told me first. It may be that the speaker might think I might be a good teacher, but that does not mean that God is thinking the same. Prophecies like that have channeled people into ministries they were not called to by God, and have caused a lot of damage. However, if beforehand, I felt the Lord calling me to be a teacher, and I was wondering whether I wanted to spend the time and money doing the necessary study to get a teaching degree, and a prophetic word came to me confirming that it is God who is calling me to teach, then I would praise the Lord for the confirmation. But if the word said that I would make a great teacher, I would be reminded of the Scripture "Beware of the flatterer" and I would accept the Holy Spirit warning and reject the prophecy.
That's what the prophetic is for. If it came to tell us everything we already knew, why would we need it in the first place? Now it should still witness to our Spirit and it should never violate the written word.
A guidance prophecy should always confirm a witness that we have already received to our spirit. I heard the story of a man receiving a prophecy telling him that he was going to be a great and famous preacher, and he wasn't sure about it so he put it on the back burner to see what was going to happen. He was then afflicted with a severe back pain which didn't come right after two surgeries. A fellow-believer asked him if he has been involved with the Occult at any stage. He said, no; then he thought of the prophecy and shared it with his friend. "Ah!" The friend replied. "That prophecy contained a spirit of divination that is attacking your body. Renounce it right away!" He renounced it, and the back pain instantly disappeared. That's why we have to be very careful about guidance prophecies that predict your future. It could be inspired by a divination spirit in the same way such a spirit would inspire a fortune teller staring into her crystal ball or reading the tea leaves.
This is the example we see in scripture over and over and over, with all sorts of different, wonderful flavors, but always expressing God's heart. Some people will always nitpick and dissect 1 Cor 12 & 14 to understand the meaning of the scriptures and yet mostly ignore the numerous examples throughout scripture. The examples in the word are scripture too!
The Scripture talks about false prophets, and the lying spirit that went into the 400 prophets that advised King Ahab. All these prophets spoke "God's will" to the people concerned when it wasn't God's will at all, because He never sent them.
When Paul was writing to the Corinthians he was writing to a immature, carnal church that needed their hand held. This is why we don't see "Word of Wisdom" mentioned by name other places in scripture. The gift is there, but for mature believers walking with the Holy Spirit it's simply called "the prophetic", and guess what, that's ok! The important part of flowing in the gifts is that we express God's heart to the recipient(s) (this is why 1 Cor 13 is sandwiched between 12 & 14). When flowing in the true gift of prophecy what is needed will come forth, God's heart will be revealed, and definitions don't matter nearly as much as people's lives being transformed.
While this is generally true, there is nothing that clearly states that the Word of Wisdom is prophetically predicting the future, whether corporately or personally. In my view, a better definition would be that the Word of Wisdom works in with the Word of Knowledge, where a word of knowledge might be revealed to a believer, and the believer asks for the Word of Wisdom to be able to convey that word of knowledge in a way that brings conviction without alienating the other person.
For instance, a pastor may get a word of knowledge about an elder in his church having an affair with a married woman. If he blurted that out from the pulpit, that could destroy the elder, the woman's marriage, and split the church right down the middle. What can the pastor do? He then asks for a word of wisdom (If any man lacks wisdom let him ask of God), and He may get the elder aside and quietly tell him that the Lord wants him to know that being faithful to his family is top priority for him right now". The elder would know exactly what the pastor is telling him, that the Lord has revealed the affair through a word of knowledge without openly and directly accusing him of it. He is more likely to break down, confess the affair, and receive counselling to be able to break it off without destroying his own and the woman's marriage, and splitting the church. He may have to step down from eldership until the situation is resolved and then reinstated afterward. This is because the word of knowledge is designed to restore the elder and put him on the right track so his eldership can continue without blemish and scandal.
Most very sensitive words of knowledge are given privately and with Holy Spirit wisdom. God is not a gossip, and does not support gossiping by busybodies. It is only if an offending person resists all attempts to put him right, that it has to be told to the church and to actually put him out of fellowship until he puts things right. If marriages are destroyed, and his ministry is corrupted, then he would have no one to blame but himself.
Even if Achan had come privately to Joshua and confessed his disobedience, he would not have been exposed publicly, and he might have experienced the grace of God, instead of having him and his whole family stoned to death.