For me, I don't really WANT to depend on my therapist too much. I have this saying internalized: 'Don't pray for what you can do yourself' And in my relationship with my therapist it relates to: 'Don't ask her for things you can do yourself'
So when I am in need and I know I can't deal with it by myself, I email her or text her. When I simply want her or miss her, I usually refrain from seeking contact and find ways to deal with it myself.
I think many people would tell me that it is ok to depend on my Therapist a little more. And perhaps it is. But I feel so proud every time I come out of a situation or bad feeling by myself, that it makes it clear to me, I didn't really need her. I would have wanted her, yes. But depending on myself, or people in my life, gives me so much more satisfaction.

But that said, I just had a session that was supposed to be 90 minutes and it turned into more than 2 hours. There is so much that is going on in my life that I really do need her right now and I have no choice but to depend on her at the moment. And that is very hard for me!