I'm sorry about what you are going through, but there is no reason whatsoever why you should feel guilty. It's time for you to live your own life. It is hard for all mothers to see their daughters grow up to be women, especially if your mother is suffering from depression & anxiety.
Why not sit down with her, take her out to a nice meal/movies/walk and talk to her about how you feel and tell her that you love her & your family and that you care for them. Spending time together, talking about how you feel and trying to make her explain how she feels might help.
Good luck & stay strong!