I am so glad he just had a cold, and it was nothing at all personal or related to the topic you discussed. It's so common to be mad at ourselves for wanting the connection, but that's because we have it backwards: we think we should be completely self-reliant when actually, it is being connected that's most healthy. Try to be compassionate toward yourself: no need to be angry for wanting support.

As for the neediness, I do more than an hour and have two sessions a week and it's been an immense help, it doesn't just give me the contact with my therapist that I enjoy/want but I make much faster progress and get defensive less. Are you able to add another session?