She probably doesn't take progesterone but Depo-Provera (or perhaps 17-alpha hydroxyprogesterone caproate) which is not the same as progesterone and likely doesn't increase body temperature. Progesterone is in a class of its own, is what our bodies naturally produce but there are progestins, analogues to progesterone which have similar but also quite different effects. Progesterone, if injected, is very quickly metabolized and within 24 hours, levels are almost back to baseline. You'd have to inject daily. On the other hand, Depo-Provera lasts 3 months, I think and the other one, has a half-life of about 7-8 days so can be injected weekly.
Progestogens, in general, may increase the size of breasts through various mechanisms, yes but can also work against estrogen's proliferative effects in the breast tissue. It will depend on the hormonal balance in the tissue. Together, they tend to have a synergistic effect, making the breasts look fuller due to ductal and lobuloalveolar formation.
Soo, you have progesterone, what our bodies have secreted for millions of years.
Then you have progestins, analogues to progesterone, not found in the human body but that have progestogenic effects in common but exert also very different effects (i.e. may be androgenic, estrogenic, glucocorticoid, etc.).
And finally, we group progesterone and progestins together and call them progestogens.