Welcome to the forums, walkwithme from wonderful Sweden, and may God bless your time here. We simply do not know the answer to your question. However, many Christians today, perhaps even a majority, believe that most suicide victims are suffering from mental illness and that therefore such lessens their culpability when they take their own life, thus allowing them to still have a chance to go to Heaven. I am one of those who feels this way. Still, we simply do not know. We should entrust them to God's mercy and hope for the best.
Yet, there is still one more thing that should be mentioned. This Protestant disagrees very strongly with classic Protestant theology when it comes to praying for the dead. The practice goes back to the earliest days of the Church. Catholics, Eastern Orthodox and Oriental Orthodox strongly support said prayers. Even Luther conceded that its was acceptable to pray once or twice for deceased loved ones. My personal view is why stop at once or twice? Why not three times or four or five, etc.? Do prayers for the dead help them at all and if so, how and to what extent? I do not know. However, said prayers certainly cannot harm them in any way and there is always a chance that they might help. Look at it this way. God exists outside of time and space as we now it. Hence, it is possible that our prayers after someone is dead can somehow be used retroactively to give them a last chance to repent as they are dying, as God certainly knows when they are dying that future prayers are coming for the person. Remember, the Bible says that with God, all things are possible. If nothing else, praying for deceased loved ones no doubt helps to brings some peace to the one praying. I would encourage you to pray for your mother, for as long as you feel comfortable doing so. There is absolutely nothing in Scripture that forbids us from praying for the dead. It is unfortunate that the Catholic doctrine of indulgences is what probably stopped most Protestants from engaging in said prayers, at the time of the Reformation, and said reluctance continues to this day. However..... there are a few exceptions to the rule and I am one of them. Peace be with you and I will say a prayer for your mother tonight.