So she has to pay more to rent month to month? It is a problem for both of you to some extent because it affects your daughter, but what other option is there? If you want her back, and you are sure, then let her, but are you are ready to have her move back?
When I read your posts, I get this feeling that you see options where she could live apart for now, but you feel sympathetic or guilty or something. Maybe you should. Maybe not. You need to be sure either way, I think. Feb 14th is just around the corner, and to me, you do not seem sure enough.