Kudos to you for having insight on this.

It sounds like your therapist and you may actually view hugs the same way--that they're okay, but you're not comfortable enough with them to initiate. When you have two people like this, I suppose things get awkward. Neither of you really wants to do it, but once you're doing it it's fine.

Your therapist is probably often thrust into situations where people assume she likes giving hugs just because she's *supposed* to, as a therapist. So when you asked her how she felt, she didn't hold back. Probably thinking that you were on the same wavelength and her "confession" would give you a sense of relief.