I don't know your history, your identity or your relationship with your mother. Did you only decide that you were trans* last year?
If so, I can understand that your mom is feeling that this is too soon. The reality is that most parents will feel the exact same way. 7 months may seem like a long time to you, but it's not all that long when your mom is seeing something as "drastic" as a transition from one gender to another happening to her child. You can't put a timeline on your mom's feelings and you can't expect her to just "come around". It is actually akin to a grieving process - because, in some ways, our families are losing a perception of a person that they have known for many years. It takes time. In short, I don't necessarily believe, from what you've said here, that she is being too unreasonable.
I don't know how old you are, but you are likely young judging from the small amount of information you've provided. You need to realise that you can't just tell someone something like this, especially if they perceive that this is a recent development (even "last year" is relatively recent) and expect them to be 100% okay with it and feel secure. You need to be continuously attempting to educate your mom - give her information, be open with her, be PATIENT. The worst thing you can do, in my opinion, is to "cut her out of your life". That is lazy and irresponsible, not to mention inconsiderate. You should be reaching out and educating her.
We expect people to just cut their own emotions, worries and thoughts right out of the picture and just "toughen up" and support us. They have a right to their worries and doubts, too, and I think you should respect that.
I agree with what was said, she must be at least somewhat convinced to be paying for your therapy (and I assume, your HRT).
You said yourself that she's a worrier which is why it took you so long to come out as a "lesbian" - well, that was your choice and obviously you care and worried that SHE would worry, hence why you didn't tell her sooner. So you have some responsibility in all of this, too. I think that you should really re-examine your thoughts and reactions to your mom and have some empathy. Yes, parents aren't always immediately supportive - and some actually react completely inappropriately and even disown their children. That is certainly not the right thing to do, but in your case - I don't see anything this cruel or extreme coming from your mother. Just a person who is worried.