Odd choice of words, wouldn't it make more sense to switch the meaning of 'talented' and 'gifted'? A 'gift' is something you receive without sacrifice, while a 'talent' needs to be honed.
Skill is practiced.
If you're passionate enough about something that you happen to have a natural affinity for in order to hone your skills, I call that a gift.
I sort of decide what words mean to me, publish them, and then stick to those definitions (while pointing anyone confused towards the published definitions).
There's probably a better way to classify these ideas without tripping over other peoples' lexicographic pedantry, but this is the Internet and you're always going to find a contrary opinion no matter what you do. The winning move is to not play.
Thus:
talent: natural affinity
skill: aptitude gained through effort
gifted: a person who is both talented and skilled in an areaAnyway, I won't say the way you're using those words is wrong, language is after all pretty flexible, it just didn't seem like the most obvious choice.