I think just talking to her should do the trick. there is nothing that can ever take the place of your showing your support and care for her through talking to her. Even if she is angry and repressed from the abuse she sustained in the past, talking to her, and with her, and treating her perhaps not completely as an equal (since you are the athority figure in her life and she should respect you) but you do have to make sure she knows you respect her. If you really want to go for gold set up something that just the two of you can do for the day, or for an hour even. go to lunch, go for ice cream, go for a walk, whatever she might like to do, and talk to her. Ask her how she’s doing, tell her you’re proud of her for the things she does.
If, and only IF, you feel that it is right and she needs to talk about her father, then bring it up as casually as possible, and brace yourself because it may set off a flood of any number of things from her. Also if she doesn’t feel like talking about it have your next talking point ready to go to change the subject so that you don’t end up sitting there waiting which will pressure her to either pull herself back and change the subject of she may just withdraw.
Be careful, listen, and make sure that you let her know how important she is to you, how much you care about her, how proud you are of her, and make sure she knows that you are there for her no matter what. If she wants to she’ll open up to you, if not she may want to wait or perhaps she might want to overcome any of her problems herself, in which case just letting her know that you are always there for her if she needs you no matter what, will be more than plenty, a safety net when you’re trying to do things on your own can make her so much more successful and confident, knowing that if she tries her hardest, puts everything she has into it and comes up short for some reason, she has you to fall back on.