You did indeed do the right thing to break up with her now you just have to do the mental work you need to do to get over your anticipating her begging you not to go.
Stop contacting her and give yourself the necessary time you need to get over her not being in your life anymore. You're much better off without someone who talks to other guys like that when they are suppose to be only talking to YOU like that. She's skanky. Not because she talks to guys like that but because she does it when she's in an exclusive relationship. Yuck.
“The willingness to accept responsibility for one’s own life is the source from which self-respect springs.” ~Joan Didion