I only email/phone my T.

For phone, I wouldn't call during/after supper hours. I would only call Monday through to Friday and not on the weekends at all.

For email, T can choose when to pick it up/check it and when it's a good time for him to respond, so I email whenever. A lot of the time, it's in the wee hours of the morning.

Texting is like phoning because most people have their phones on and will get notified when someone messages them. I wouldn't want anyone waking up from sleep because I texted late or early in the morning.

Since you made contact first, I don't think it's weird he responded or that he didn't respond after subsequent texts as it was really late. Often, therapists want YOU to bring this stuff up in session and be accountable for what happens in that therapeutic hour. Your therapist didn't do anything inappropriate from what you've said.