Here's one I recovered:
Peach is a virgin.
You know how they always keep talking about how "pure" she is? That's G-rated talk for "She's still a virgin". She even acts it. This leads to...
Peach's extraordinary powers come from her virginity.
Healing? Psych Bomb? Peach Beam? That telekinetic lift she does in Bowser's Inside Story? All these powers stem from her virginity. This leads me to one more...
Peach refuses to become Mario's full-time girlfriend in an effort to keep her virginity.
If you had powers like that, wouldn't you want to try and hang to them for as long as possible?