Oh, so sorry to hear that, I know it's a terrible thing when your hair gives you such problems additionally to all the things that are coming with being new to diabetes.
Just after diagnosis I realized my hair started to fall out in large amounts and it go to look very bad. I went to my hairdresser and she confirmed, the hair in the back of my head fell out, while the part from the front got to be much thinner. She told me to go to the specialist hair doctor, but for different reasons I couldn't. But after a while (now it's 7th month after the diagnosis) it got to be better and I can see my hair is stronger, not falling so much anymore.
I'm T1 on insulin.
I hope it will get better for you too very soon.