This is a good question. There are many things that could be stated when it comes to all sorts of abuse from a Christian perspective.
First, Christianity makes no pretensions about living in a utopian world. The world is filled with sin, temptation and hardships. So, Christianity can explain the fact that there are evil things taking place, such as sexual abuse.
Second, Christianity can provide encouragement for victims. If you think about it, many people in Paul's context were sexually abused. Many of them were slaves and it was a common experience of slaves to be mistreated from a sexual point of view. In this context, the New Testament still speaks of the love of God and his grace to overcome these very difficult situations.
Third, Christianity also speaks of comfort. 2 Corinthians 1 speaks of the God of all comfort. In short, God can comfort us, because he knows the experience of the cross through the death of Christ. I will add a link about this idea of comfort from a Christian point of view.