Nothing she wrote seems like classism to me. The way you put it, a lawyer should avoid mentioning he’s a lawyer as that would display he was educated and thus insulting people who couldn’t.

She’s probably complaining with her friends and reflecting about what happens. In her work life she is a respected person who does important things which are recognised by her peers.

In her datings she has to go over people who can not come up with a better idea than to send a dick pic. This is a terrible thing, but some people may get desperate and accept some of these inepts. She’s reminding herself that she’s doesn’t really need to have these kinds of interactions.

Is there a classist message in there? I guess the main message is: I’m a smart person, I don’t need to put up with this. She does not insult those people as Poor’s or people who did not study. As far are we know people sending those pictures may be millionaires (and I wouldn’t be surprised).