Undiagnosed Dyslexia with Adult Autism?

I am 44 years old and have been diagnosed with Autism for about a year. During a chat with a CBT therapist I advised that I really struggled with reading as find it uncomfortable but don't understand why. I understand words and can read, it just feels like I'm wading through treacle when Im doing it.

The therapist asked if I had ever been assessed for Dyslexia as it might be the cause of my struggle with reading. I think Dyslexia and Autism are comorbidities.

I have asked my doctors to refer me for an assessment for Dyslexia but they advised me that they do not diagnose adults, which is frustrating. Aparently I need to get assessed privately which I fear would be expensive. I also do not know if or how a diagnosis will affect or help me in relation to my Autism.

Does anyone have any experience or input of Autism with Dyslexia (including getting diagnosed as an adult)?

Thanks