My T wouldn't use the word "love" either. She will say she cares deeply for me, but says the word "love" is reserved for close family. She would never say the words "I love you" to me.

Since you have a history of not getting the love you wanted and needed, and not trusting it if you did, it makes sense that you want your T to tell you those words, and tell you often. Will she tell you that she cares deeply for you? If she reassures you as often as you ask, will that help you to accept it as truth? Also, actions speak louder than words. Do her actions show that she loves you?

I understand wanting to hear "those words" though. I would keep talking about it with her, and maybe something she says will enable you to accept the words that she DOES freely give you.