Welcome Perdita.
Two hours or more is a long time to spend every day, isn't it?
I used to have real trouble getting to work on time, no matter how early I got up. I hated my job and didn't want to go. I'd end-up in front of the mirror, and start picking at my face for ages, because I tend to do that when I'm stressed. And before I'd know it, I'd just have made myself late and even less keen to go to work, because I had a blotchy red face that even make-up couldn't fix.
Do you only have this difficulty getting ready for your job? Or do you have a similar problem when you have the day off work too?
I think some jobs encourage too much focus on how you look, especially if you work with very vain or pretentious people.
I had less trouble after I changed jobs. I think I was taking my work stress out on myself. Instead of facing-up to the fact that I wasn't happy in the job or suited to the role, I was fussing about how I looked and what an idiot I was for not getting to work on time.
It is hard to stop obsessing about your looks. All the advertisements, beauty products, magazine pictures etc. suggest that flawless beauty is attainable and highly desirable. When in reality, most people prefer talking to someone with a visibly 'human' or vulnerable face. Perfection is not attractive; it is intimidating.
One thing that helped me is that I met some really cool women who didn't wear make-up. They were beautiful in a really natural and relaxed way. They didn't wear fancy clothes or pretend to be better than what they were. I realised I wanted to be more like them. I didn't want to worry about how I looked; I wanted their relaxed self-acceptance.
Another thing that helped is that I took holidays camping and hiking. I forced myself into living without mirrors and daily showers. It's not as terrifying as it sounds, because everyone with you is in the same boat - they're all dirty grubs too.

I found the experience very liberating. I loved not looking in the mirror.
Think about what kind of person you want to be. If your looks are really important to you, then that's okay. Some people really enjoy dressing-up and looking pretty. But if you don't want it to be a focus in your life, don't become a slave to it!
If you have to, cover up the mirror for a day. Or plan a "no make-up and daggy clothes day" on your calendar, and stick to it. If you can find enjoyment in not worrying so much about how you look, I think you will find it easier to give it up.
No diagnosis, lots of opinions, and a bunch of issues that I haven't quite figured out.