As I once told you before, you don’t have to be an outright sexist to be considered toxically masculine. Even most men (and women! Toxic Masculinity isn’t just exclusive to men either) in real life with a toxically masculine attitude don’t go around thinking women shouldn’t be in the workforce or refuse to ever work with them - Toxic Masculinity mostly manifests in wanting to dominate, ignoring one’s right to consent, thinking that showing soft emotions makes you “weak,” and glorifying violence, all traits Manga/Crystal Demande definitely presents.
I don't think toxic masculinity is right to put on the character.