Don't be miserable! Divorced women have a hard life. She needs a man to help her, support her and love her. Your mother and that man may have feelings, like each other and be together. At an age, many things may feel indifferent, including cohabitation. You are young, these things are very important and sacred, but for a 45-year-old, it's no big deal, just like eating. After you get married and have children, you may change your view on some things.
I hope you are happy.