I have been seeing my T for 18 months and it's literally only in the last couple of months or so I've started to feel able to open up about certain stuff. It may just be a case of patience.
One month in is really early days, so try not to beat yourself up or overanalyse. My T has always said that defences are there for a reason. Seeing my reluctance to open up as a normal human reaction helped me to accept myself in those early days. Everything else followed with time.