your implication if I understand correctly is that Princess Peach is a negative role-model for girls; your reasoning is bad because
1) there's not really any evidence to suggest that Princess Peach is supposed to be or is actively interpreted as role-model of any capacity
2) implying that Princess Peach cannot be the character that she already is because a female character has to be [x] is sexist; one could argue that Princess Peach's character was produced out of sexist character tropes from a largely patriarchal society (and I agree), however to argue that the trope of damsel in distress just should not exist is irrational and deleterious to the idea of gender equality
3) in mainline Mario platformers, the Mario Bros. and Princess Peach are largely lacking in actual characterization; all of the examples of video games in which Princess Peach is an actual character with written dialogue, she's an arguably positive character (or at the very least, the worst of the negative character traits that she's accused of having are reduced to the point of being negligible)
my point here is that I think that while there are many, many examples of shitty female characters and patriarchal sexism in video games, Princess Peach is probably a pretty shitty example to be using at the forefront of ones thoughts regarding this particular issue