It didn't look like the woman in the clip was ranting.
We don't see the beginning of the conversation, though. How would she have known the man was a Trump supporter unless they'd chatted about the result of the vote, perhaps.
It could have been that what started as polite pleasantries became a bit more heated. I think she should have been asked to keep quiet or been moved to another seat.
Chucking her off is usually reserved for violent people and drunks, nether of which she seemed to be.