I think everyone dissociates to some degree, it is a spectrum. At one end is the common experience of 'highway hypnosis', and DID is at the other end of the spectrum. You are perhaps somewhere in the middle. Please don't worry or be frightened. Dissociating is a coping mechanism that is common in various disorders and conditions. As your therapy progresses and you start to heal you may have less need for it, and - in my experience - it happens less and less. It becomes easier to feel present without it being overwhelming and causing you to 'space out'.
When she asked if you 'dissociated', I think she was essentially asking if you 'spaced out' - which the 'weird feeling' and 'light headedness' would suggest you did. I don't think she is trying to herd you into a diagnosis (or suggest you became someone else or have alters), I think she was enquiring about how you were experiencing that moment.