Madasa, your post could have been written by me.
My lovely dad died four weeks ago today, he was 65. He had a rare bronchial/tracheal cancer.
I went back to work after two weeks. I am Dutch and thus flew to Holland when he was rushed to hospital, then after his death I stayed to help mum organise the funeral. My first week compassionate leave was paid for by work, the second week was unpaid. (I work in a school, those are the county council rules)
I keep alternating between bursting into tears and being short tempered.
I feel like I am auto pilot, dealing with my job, my children, the housework, friends etc.
You are not a fraud. Your grief and sense of loss is very very real.
You are allowed to grieve, to have a melt down.
It is good that you went to see the doctor. Take the next week to look after yourself. Cry, laugh, remember him.
I have two friends who both lost their fathers within the past year. They both say that it takes time to get over. So give yourself time.
In the meantime, I am here. I am walking the same path, so holler if you need anything.
Until then, here is an unmumsnetty (hug)