Earlier quoted context omitted.
That didn't seem like faux crying. Making fun of her in that way is the hardest to defend IMO, since it had nothing to do with her job performance or relevant character attributes. (E.g. how the other officer had been accused of stealing before, or had a brother resign from the force after being charged with a crime involving a minor). That said, I don't disagree with outcome.
These people carry guns and can kill you on the street and they can't take getting called some bad names?
However, there are different situations. For example, I imagine this person is not very surprised or upset to be called "dyke" in a verbal altercation. That is different from sitting in a quiet courtroom, knowing it is being filmed, watching a popular video where your gender identity and expression is repeatedly insulted.
Let's say the officer was black, the defendant was white, and made a video with lots of racist stereotypes. Would we think that was funny and cool? Would we be surprised if the black man had a breakdown in the courtroom watching it? We wouldn't even be having this conversation.
By all means, call cops pigs, liars, thieves, idiots. If you want to be racist, sexist, or call them pedophiles, I'll defend your right to do so but not be as sympathetic.
Otherwise we're just the hypocritical liberals as the right wingers accuse...