Is it normal not to accept myself?

I feel like a typical woman saying but I’ve never liked my appearance. When I was younger I learnt to just deal with it but lately it seems to be getting worse. I go through stages where I don’t like a particular part of myself (this week it is my nose!) I could actually just look into a mirror and cry, I hate having to look at myself every morning doing my make up, but I wish I could just get over it and accept myself again.
Compliments I receive either really upset me or make my blood boil. I hate them and obviously relationship wise this can be a bit of a downfall; I literally don’t understand how a man can find me attractive and when they tell me they do think I’m “beautiful” I don’t believe them and then can’t trust a word they say, it’s caused so many barriers and looking back I should just keep my mouth shut when someone compliments me instead of losing my temper, maybe I’d be a bit happier in life but it’s not that simple.
I realised the extent of my hate when I had to have a professional photo taken, I actually just wanted to sit and cry because of how uncomfortable I was and how much I hated it.
I think because of how confident I act (a lot of people think I’m a bit crazy) people don’t realise how bad I actually am, if I mention it to someone they’re quite taken back and if I speak to anyone close to me about it they get very annoyed so I kinda have to suffer in silence. I feel ridiculous using the word “suffer” when I look at people with deformities and disfigurements and I know I am extremely lucky in that sense BUT I also get kind of jealous of how much these people are happy with the way they look. They may not think they’re good looking but they accept it. It annoys me and I just think “why can’t I be like that?” Is that a bit sick in the head?
I know nothing anyone can say can change my mind but it would be nice to know I’m not a complete freak and there’s a few people in the entire world that feel my “pain” :)