Thanks Michael!
Just as an update.. Things have gotten worse ever since the first date! New bun Aurora does not seem happy with Doc at all.. He is innocently curious about her and has lowered his head for licks a few times. She, on the other hand, charges at him with an attack every time he moves. The shelter recommended that I get into a small pen with them and start off by petting them, which is what I've been doing. The last couple of times it's barely been a minute before Aurora goes on the defense and I have to grab Doc out of there, usually getting mauled by both buns in the process. The woman at the shelter recommended I now give it a few more days before trying again, let Aurora get a little more comfortable in her new home, but I'm getting a little worried! Otherwise she is only a little shy, will let me pet her, and warms up to running and binking around during her play time. Trying to stay positive!