i hope she'll find something she'll like
and don't worry, it took me two years and the return of the dreaded september pizza face to understand sunscreen wasn't optional for me, that and the fact i tend to burn quickly under the sun lol. try to picture in your mind a burnt pizza
try to make her understand she really needs to be serious about her sunscreen, just because UVA and UVB are responsible for skin aging, and because skin cancer is IMO the only cancer you can avoid by following a simple measure.