I have an irritating smegma on my labial folds. What should I do?

Hello doctor,

I had a partial hysterectomy five and a half years ago. I still have my right ovary. Since a year, after my surgery, I have what seems to be smegma covering my inner labia. It is not in my vagina but covers the skin in the folds of my lips. I shower daily but stopped using soap 10 years ago because it was too irritating. I occasionally use soap, but no more than once a week. Every day when I shower, my skin is covered in thick white stuff that I almost have to scrape off. Sometimes there is a bit of smell, but nothing strong.

I have had problems with yeast in the past which seemed to be linked to other inflammation in my body. I had some problems with vaginal itching, but a round of OTC cream cleared it up. Mostly this is embarrassing. I was single for quite a while, but have a fiance now. I cannot afford health insurance and gynecological visits. I also have psoriasis on my scalp, ears, and toenails. Could this be psoriasis? Is this just the way my vagina functions now after my hysterectomy? Is there anything that I can do? All that Google has to say about it is that I am unhygienic which is not my problem. Any help is much appreciated.