Naaaaaah... She's not bitter!
Shampoo is a better martial artist, better cook (by far) more glamorous in fashion, larger bust, generally less common and ordinary, and the equivalent of a "Warrior Princess" in her home culture's social standing......and yet still, for some inexplicable reason, her "husband" is living under her rival Akane's roof. It's vexing!
She's not allowed to kill her though, so she got creative.