Honestly, it doesnt sound like you are ready to "just hang out" with her, and you would probably be very upset at the time. I think she should understand and respect that, and not even mention hanging out with you- maybe she just wants the attention knowing you have feelings for her? Regardless, just take your own feelings into consideration and just be careful- you don't want to dive in too deep especially if you're trying to get over the rejection and her.