Gf cheated and now wants me back?!!!!?

Am not to going to go into details but long story short i had this girl for almost 2 years and like any couple we struggled through a lot (arguments, lying, etc...) we broke up because i had work outside the country and i was gone for 3 months i was supposed to come back on the 4th but she cheated on me. She keeps sending me emails how she misses me, bla bla bla... but up till now i only answered 2 out of 4

Any advice?? i would be grateful