Compromise.
Since you are dating her, there should be something you two both like to eat together.
I am also dating someone who does not eat pork , not because of religion or anything, his body just rejects swine. So we compromise. When we go out to eat, we have this silent agreement not to order anything with pork in it. But there are times when what I want have pork in it , then sometimes I do order it
.
So basically, talk to her about it and learn to meet halfway.