Would you give up on a relationship if you had ineffective communication?

I personally feel that it is imparative to have and do not want to live my life in "misery" on daily struggles. I can admit my faults and apologize when convinced that I did something, but expect the same. The only problem is that she won't admit that she jumps to conclusions and completes my sentences for me and that is what makes me upset, when I try to bring it to her attention---oh, no, it's not her fault---all mine. If she does admit it---she is only patronizing me. I take "jabs" at her, but she is more vindictive and spiteful when mad.