Yes, my T and I have contact between sessions. It was necessary for me to be able to build trust in my T. I typically email T at least once between sessions, and can call her if needed as well. We've also texted a few times - that's mostly about appointment time changes or a very quick check in.

For me - I email non-urgent things and call for urgent things. Emails are usually me processing a session, or sharing thoughts, or laying the groundwork for bringing up difficult topics in session. Also, when I'm really struggling, T asks me to check in daily by either email or text. Phone calls are for when I need fairly immediate help and feel like I simply can't manage things on my own or feel like I might be a danger to myself.

I used to feel like I was imposing every time I'd contact her, and that was my own insecurities and embarrassment at needing to reach out. I finally had a conversation with my T about between session contact, and we basically set expectations for when I should contact her, how often is reasonable, how quickly I could expect a reply, and what kind of reply I could expect. T and I agreed that non-urgent stuff can be by email, but I promised to call or text her with urgent things. We agreed that she will reply to emails within 24 hours during her work week, and emails sent after 4 pm on Thursday will get a reply on Monday. We agreed that email replies will typically just be an acknowledgement that she received it, unless T feels it's reasonable to give a longer response. T usually gives me some words of encouragement in her replies, but she rarely gives detailed replies. Phone conversations are limited to 15 minutes, and if I need more time, then we have to schedule it and I will be charged for the time. If I call her office voicemail during her office hours, she will return the call typically within an hour. If I call her cell phone outside of office hours, she usually gets back with some kind of reply within an hour or two - but that reply might be a text saying she'll call me back at a certain time.

So - I think the really important thing for between session contact is to set expectations. Ask your T how she prefers you to contact her - email, phone, text, and when you can expect a reply if you do contact her. It's important to remember that outside of their working hours, T's have other obligations and may not be able to respond right away. You might also talk to your T about some skills you can use to cope with things when she's not able to contact you right away.