I did not want a seperation it was forced on me did she cheat on me ?

I did not want a separation. I wanted counseling after she took the kids and moved. I asked her not to date and i wouldn't ether.She told me she didn't owe me that after 8 months of going no where trying to mend the family back.The hole time she telling me to move on and she would never go back to me. I ended up with a women after 3 weeks of Finlay moving on she started telling me she loves me and we would start making things work.so i ended it.she never did come around she stated having a Friend around from her work for 4 months her telling me he is just a Friend after my kids telling about it upset me.she still telling hes just a Friend after me being upset beond belief for months. She slept with him.After she ended it. She told me she is over it i need to get over it i am lucky it was with one guy one time.she is now willing to work one are relationship.Can i ever get over it and did she cheat on me.