Yes, I sometimes contact T.

Circumstances: T has asked me to stay in contact (if we're having a break due for whatever reason) or I contact when I need to connect or if I'm in distress about something. I really hate talking on the phone so I'd only ever email and even then, I wouldn't email saying "I'm feeling suicidal" but would email and say that "I'm struggling". I would also email to book an additional or earlier session. Sometimes just having some contact, even just a short email is enough to push me through to the next week.

Boundaries: Ask your T what her boundaries are. It's a lot easier when you know what her personal boundaries are so you don't keep second guessing yourself if it's okay to call or email.