Ebony: http://www.mangago.me/read-manga/ebony/?TWtC
This is really good, it’s in medieval time period but the mc is really smart and strong willed and it’s similar to what you’re looking for. You’ll like it a lot
http://www.mangago.me/read-manga/secret_alliance/?aXFb (abused by her mother who didnt let her meet boys so she developed a phobia towards boys though in college she tried to change and the ml helped her)
http://www.mangago.me/read-manga/woman_s_best_friend/ (she wasn't exactly abused... More like neglected by her parents because her twin sister was weak so she had to give everything to her so the ml helped her gain more confidence in herself)
http://www.mangago.me/read-manga/diamond_dust/ (from an early age her father taught her to only play the piano, he was really strict with her and didn't let her do anything that could harm her hands... She grew up, things changed because of an incident and the male lead helped her... This one made me cry a bit)

Manwha where the mc was abused. Preferably a female and shojou. She meets the ML who is nice to her and she slowly falls in love. Not like immediately where she devotes herself. Is there anything where she is distrustful of the ML at first and isnt immediately in love because those are annoying.