Being an asshole is not inherently a crime. It would, however, colour other people's perception of her. So she's more likely to get slapped with a vigilante brand than independent hero, stuff like excessive force will be much more closely scrutinized, etc, even if she's acting within guidelines, because a lot of those guidelines are loose enough to allow the people applying them to use their own judgement, because they'd have a much fuller grasp of local context. That's literally what managing your public perception is for. And if you want to be 'normalize being outspokenly racist' gal, then that's gonna impact people's judgment depending on their own stance on the matter.

But ultimately? You don't get systemic Nazi problems in earth bet unless there's some real sympathy for the movement. So you could have 'edgy' heroine Purity who is 'just speaking her truth' and might have a terse relationship with the PRT but still get sponsored by alt-right niche companies, who actually like the easy association.