This is the ordinary sense of mime as a performer who depicts characters and stories solely through movement and gesture, without words or other sound.
Aversion to mimes is a longstanding trope in American culture.
Everyone Hates Mimes
"Until I came here to America, I'd never realized that you were right: nobody in the world likes mime."
— David Bowie's 60th Birthday Message to John Peel
Mimes are universally hated in fiction. They're an Acceptable Target of sorts. No real reason is ever given, but the Uncanny Valley may have something to do with it - after all, their pure white faces and refusal to speak give them a definite alien aura. This trope isn't limited to people who hate mimes, but also works of fiction that seem to have it out for them. In other words a character doesn't have to say "I hate mimes" for it to be this trope. All the character needs to do is fall on, punch, kick, or otherwise cause intentional or accidental harm to a mime.
This distaste arose in the 1950s and 60s when mime of the Decroux school, employing dance-like, often abstract movement for a wide variety of narrative emotional effects, displaced the established naturlistic style of comic mime. (The costume of the French school's most famous performer, Marcel Marceau, is still the stereotype image of the mime.) Mime came to be regarded as high-brow and precious, an entertainment for intellectuals rather than 'real people'. This attitude was exacerbated when American artists and students of the counterculture embraced the form and began to appear as street performers, often importunate and annoying.
Eventually the trope was reinforced by the related Monster Clown.