If I can give my two cents to this topic...
I want to tell you a little story.
10 years ago I was offered a place in a new private degree program. Only 15 people all over Europe were accepted and it was expensive, 14 hour days (so no way to work a job to earn some extra money) and it was very exhausting. I knew, I couldn't go because I was 24 and didn't just have the money that I needed for that on my bank account. But you know I am a Christian. (And sorry if this is inappropriate on this board but it's important to the story) Some of my friends thought that it was God's plan for me to go and take part in this program.
They told me - Go and God will provide.
Well, I decided to put that to the test and accepted and was ready to travel to the country and city the program was held in. I had to find a place to live, find enough money to pay my health insurance and living costs and on top of that the tuition costs.
At the airport, shortly before going through security I got extremely anxious. I thought - what the heck was I doing? I have absolutely nothing except the first month of rent.
I heard someone calling my name. I turned around and about 20 people, friends and acquaintances stood there waving at me. Everyone gave me an envelope with money with strict instructions to only open it when I had arrived. A couple I knew took me aside and told me they were going to pay the whole year for me, that they would put $1600 into my bank account each month. I was in shock and didn't want to accept it, it wasn't like they were incredibly rich or something. This was quite a percentage of their income. I cried and said no and felt horrible.
Then the husband said: It takes strength to accept a gift of money. It takes more strength to believe you are worth it. And it takes even more strength to believe that we do this because we love you.

I had an incredible year and got my degree and finished second best in my class. And I never had to pay back one penny, even though I felt I had to. But it was a gift.
HG, I believe your T is giving you a gift. And I think it will help you grow and heal if you accept it. Because, what if you don't? Then for two months you will miss her, you will be anxious, you will feel alone, you will carry burdens by yourself. But if you do accept her offer, it's a great opportunity to learn to accept that your worth it, that it's ok to accept a gift like this. If she offers, she means it. If she means it, she cares. If she cares, you can allow yourself to care back :-)
Don't beat yourself up so much over this, HG. You are a wonderful person, why would you not deserve this gift?