When I look at her, my heart does a flip-flop. Why?

I have tried to avoid this female for many months. Each time I pass by her, she goes out of her way to flick those big brown eyes at me. I cannot tell if she flirting with me or not. She follows me everywhere, almost to the point of stalking me. My feeling for her is becoming mutual and this could be very bad for me.

Question: should I just give up everything just to be with her?

By the way, this lady is a puppy female Border Collie.