Are there restrictions on a Kohen marrying a converts daughter
Assuming that she was conceived after her father became a convert, (meaning that she herself is definitely not a convert), then the halacha is as follows. If both of her parents are converts then it would be an issue, but if her mother is not a convert then it is fine for her to marry a kohen. Note: even if both her parents are converts, don’t be rash to say that they cannot marry, and speak to a Rov who is proficient in Even Haezer.
Mishna Kiddushin Shulchan Aruch E:H 7-21, Bais Shmuel ibid 7-42.