Progesterone has beneficial anti-androgen properties and can help to promote ovulation. That makes progesterone potentially therapeutic for polycystic ovary syndrome, as described in my recent paper The central role of ovulatory disturbances in the etiology of androgenic polycystic ovary syndrome (PCOS)—Evidence for treatment with cyclic progesterone.
A menstrual cycle is, by definition, an ovulatory cycle in which ovulation is the main event and progesterone is made.
Any other kind of bleed is either an anovulatory bleed or a pill-bleed — neither of which are real menstrual cycles. Ovulatory cycles are the only way to make progesterone which is important for general health, not just for making a baby.
Wheat is fine for most people but a major problem for about one in ten. For women with gluten sensitivity, even a small amount can drive or worsen endometriosis, adenomyosis, migraines, thyroid disease, and some cases of amenorrhea.
The first step is to understand the difference between FODMAPs and gluten. FODMAPs are fermentable carbohydrates found in wheat and many other foods; they can cause digestive bloating. Gluten is a protein and it can cause inflammation and immune dysfunction.
Progesterone is beneficial because it lightens periods. It also reduces inflammation, regulates immune function, and supports healthy thyroid, brain, bones, and breasts.
Do you make enough progesterone? Are you sure?
The only way to make progesterone is with ovulation and a healthy luteal phase.