'She digs my shit' is slang. To dig in this sense means to like or love. Shit is most often used in a negative sense but in this case it means things, stuff, possessions or the things someone does. So she loves my things or she loves the things I do.

سلام ، من دانشجوي دكتري حسابداري هستم و در حال آموزش زبان اينگليسي ، خوشحال ميشم با هم آشنا بشيم

I would not recommend using this expression unless you are with friends.