I can handle people trashing me - for two reasons.
Reason 1 is that I feel it's important to have bad people trashing you, just as much as it matters to have good people talking you up. With the people who tend to trash me, I'd be horrified if they all of a sudden they began to endorse me. That would be a bad thing.
Reason 2: I have plenty of good people talking me up. I believe in "the lion and the mouse", so I like it when I get notes like this from students.