Kyle Fellers and Anthony Foote were banned from school grounds in Bow after wearing the wristbands to a soccer game in September that included a transgender girl on the opposing team. They later sued the school district, and while the no-trespass orders have since expired, they asked the judge to allow them to carry signs and wear the wristbands featuring the symbol for female chromosomes at school events while the case proceeds.

Both men testified at a hearing in November that they didn’t intend to harass or otherwise target transgender athlete Parker Tirrell, and their attorneys argued they did nothing more than silently express their support for reserving girls’ sports for those assigned female at birth.

But in denying their motion Monday, U.S. District Court Judge Steven McAuliffe said the parents’ “narrow, plausibly inoffensive” intentions weren’t as important as the wider context, and that adults attending a high school athletic event do not enjoy a First Amendment protected right to convey messages that demean, harass or harm students.