Dating while closeted?

Where do I begin? 
Okay so, my family is super homophobic-transphobic. I am a bisexual female who is in love with another girl. We've talked about dating before but I feel bad that I won't be able to show her off. Of course I can always play it as she's my best friend, but is that fair for her? I feel so guilty about it all. It's not like I can come out, it's not safe.