My girlfriend want to break up with me because i got a tattoo?

Hi everyone im 18 and my gf is 17 and we've been together for the last 2 1/2+ years.When we meet it was like and fairy tail to me.i had never felt like this in my life b4 and i think its tru love.when we got together i had a few tattoos like my momz name and my broz name ppl i love alot..plus someotherz.she hated tattoos but looked ped it for me,and said i should neva get another or else she wood end us...the other day i found out she lied to me.she went to a club and told me she went to a dinner wit her frens.the dinner part was tru and she didnt tell me she went clubin after.i found out this by coming across pictures on facebook.i was so madd and that i went to get a tattoo.i got my name across my stomache.now she had broken up wit me cuz i was cursin her abt liein abt goin 2 the club.thats b4 i got the tattoo.so we were sorta makin progress recovering from that and i showed her the tattoo the same day i got it.she completly blew me off and has been mean abt it eva since sayin that i trew away us when i got the tattoo and i choose the tattoo over her...im so angry abt what she'z doin. its like she doesnt love me for me..i so angry at her and want her ot understand im still me..i love her dearly and she says she loves me but cant be wit me becuz of the tattoo.....i dont wanna loose her so i posted this story here to see what other ppl views are.i cant be wit no1 else.....but it seems so weird y shez trowin away everything we had....plz help!!!!!!!!!!