Two things - because you DON'T like how he answered, it has become more important to keep you SAFE outside of session - that's how I would interpret "limiting" email contact. Your vulnerable time with him will only be in his presence, in session, or shortly before by email. I see it as warmly embracing.
2nd thing - I like when my T DOESN'T answer

I'll tell him at session that I ALMOST texted him about something, but I didn't want to BOTHER him. So idk now it's like he's training me to text, to feel that someone DOES like me (which was never the case at home or with husbands), but my self-esteem doesn't rely on an instant response from him. Used to be I would text or email, and then feel sick until I heard back from him. Now I just text; but as you say, don't abuse the privilege; and I know we'll talk about it in session - you helped me see THIS part, thanks.