Sorry, it doesn't sound like she wants to hang out. At least she didn't give a whole fake "yes, we must do that soon!!" response.
Out of curiosity, are you wanting to hang out with her 1:1 or in a group of mutual friends including her boyfriend? The former would no longer be appropriate but the latter could possibly be worked towards. Likewise, don't expect to have a close friendship with her.
Anyway, if you're happy to hang out with her in company, give it more time. Be unfailingly polite but don't push it.
Never regret anything that has happened in your life. It cannot be changed, forgotten or undone. So, take it as a lesson learned and move on.