AF = Aunt Flo. Euphemism for period!
Progesterone is not produced in significant levels at all until after you ovulate. It is secreted by the corpus luteum (the retreating follicle after the egg has ruptured from it). The purpose of progesterone is to maintain a conception until after implantation when beta HCG takes over at the point of implantation and placenta formation. There's no point in your body producing it before ovulation, which is why it's a hormone produced locally by the ovaries (and not the pituitary gland in the brain) after ovulation.
Are you sure she asked a Dr who is a Gynae. Some GPs do a Diploma in Obs and Gynae, but their knowledge is still limited.
Put it this way, my DH is a GP. Until he did his DFRSH (Diploma in Family Planning and Reproductive Health) he thought ovulation occurs bang on 14 days after the start of the period. He was massively corrected when he did the extra qualification as he had to learn to teach natural family planning techniques etc, and understanding when ovulation occurs is fundamental to this.
Also, when I first went for my progesterone test, I was concerned it hadn't been ordered. I asked the nurse, who confirmed it had. When the results came through it hadn't. My GP didn't even realise it was required! Hence I phoned them and had a word. The nurse hadn't understood what I was asking!
Also it doesn't have to be on an exact day. If you think (based on pain) that you ovulate on about day 25, then day 32 for the test would be perfect. If they can't get you in on day 32, go for 33 or 34. You should still test positive if you are ovulating.
If all else fails lie be economical with the truth and simply tell them that you are on day 21 on day 32!