You began your relationship rather hastily;
just after a month and within one date and bloom - the relationship
is born. It could be true for your intense feelings for her; the
passion and everything else, but to be frank, it may not be quite
equal on the other side.
Merely two months into the reality of Love and you see cracks of
individual personality. I would tell you it's a perfectly natural
process; what matters is how you handle your relationship after the
sweet honeymoon has passed and not what's sweet and loving in the
beginning. It's pretty sad to realise that you hit her over some
minor dispute; you ought to realise that EVEN if she is your wife,
there are no reasons justifiable for such reaction.
The violence indicates not the lack of love -
rather the helpless agony of a man who fell before the cruel
reality of his own relationship. Love cannot be subdue (via Mars),
it can only be tamed (via Venus). To ignore the usage of proper
communication as a matured couple will serve to fail your own
relationship even if problems are minor and insignificiant like
your thingy.
This Love is young; she probably still have the ability to escape
the clutches of the relationship without much emotional issues.
From your post, your had probably lost this love... already. The
only consolation is that, if you learn this the hard way, make sure
this lessons stays with you for life. To dump away what you have
gain, is as good as sacrificing future relationship with history
repeats.
P.S: Actually, you have your second chance; that's your next
relationship - my promise to you. 
Cheers
