PETA sympathizers in the legal profession could start filing lawsuits against him, forcing him to spend time and money away from superheroing and exterminating. Every minute he has to spend in court is not only money he has to pay an attorney but loss of income because he's unable to make a living.
If it is known what school Pop Tart is associated with PETA could due more protests, media campaigns, raids against supposed animal testing research done at the collage. Put enough pressure on the school and it might threaten to expel and/or cut financial aid to Pop Tart. How would it affect Honey Badgers and Pop Tarts relationship if she had to choose between him and school?