Why wouldn't you be "allowed" to continue to see him?

If you are unsure if he is competent enough to work with your problems just ask him. Why wouldn't it you ask him? You are paying him out of pocket, so you get to decide if you need to continue to see him or not. If he didn't want to work with you, he wouldn't have met with you two times already. It's his private practice and he's already decided that he wants to work with you if he has met with you twice. It's your call now. You need to decide if he is the right therapist for you.