Should you date a recently divorced woman?

Generally, dating someone while they are still divorcing is not recommended. This is because they need space to grieve the end of the marriage and to learn from the experience. Dating someone too soon can mean that they just transfer their affections onto you and dont see you for what you really are.

Can a woman divorce a man in the Bible?

Jesus specifically allowed divorce for infidelity Matthew 19:9 (ESV) And I say to you: whoever divorces his wife, except for sexual immorality, and marries another, commits adultery.