This question was not addressed to me, but I will attempt to answer.
No. YOU would not be sinning if you had truly given your life to God and accepted Jesus' sacrifice. What you would be doing is giving into your flesh, which is NOT you.
Does this mean I'm advocating sleeping with other women? Uh, no. It means that just like Paul, you have to overcome your flesh, but the real you is not sinning. You are caving in to the sin nature inside of your flesh, but if you are God's, YOU are not sinning.
When that lustful thought that you keep referencing tries to come to the real you, what do you do? Do you embrace it, or do you quickly rebuke it?
Some people think that this is splitting hairs, but I don't believe it is. The Bible is clear in 1 John 3:9 that if we are born of God, we CAN NOT sin. To understand this, we must understand that our spirit, or the real us, is incapable of sinning, even though we may have to battle with our flesh. But we can put our flesh under. As others have said, God would not have told us to do something we could not accomplish.
Now I have answered the unanswerable question with a direct answer.