@CJ, that's between you and Albino tbh. Since medicine cats operate on sort of a different system, it will be up to you guys to decide if she'll be ready to earn her full name after the skip. If so, then yes - you do get to award her the full medicine cat name. c:
@Amnesia, that's sort of my bad, I haven't replied yet lol. If you would like, since we've talked about it a bit (can't remember if it was over PM or on here), we can go through with a plan similar to my suggestion. I'd thought since she was coming that Beestar would offer her to train in the Clan for saving Bearpaw, and that eventually if it suited her she'd be a warrior. We can say she became one during the skip if you'd like. c: