Speaking from the increasingly uncomfortable vantage point of being female, let’s toss Logic on its long-suffering head, please, because Logic is standing there with hands on hips and insisting that sex is 90% mental for most women. If the head isn’t into it, it’s not ever going to be earthshattering, or wonderful, or even remotely addictive. Yes, hormones are involved, but not in the way you seem to think.
While estrogen, progesterone, and especially testosterone have an effect on causing a woman to desire sex, increasing those hormones doesn’t have the end result of increasing sexual desire. Estrogen makes you look feminine, and progesterone is essential to carry a pregnancy to term. Testosterone can affect sexual desire, and yes, women make and use testosterone. Increasing it would however have some nasty side effects, unless you like very masculine, hairy, infertile women.
Unless you want to dabble in the feel-good neurotransmitters like serotonin, which makes you happy, or dopamine, which makes you feel good, or oxytocin, which seems to induce cuddling, I’m not seeing a way to use hormones in any logical manner. There isn’t a way to medically/neurochemically/biologically make this happen without taking that leap in the fantasy this truly is, and try to create something that will allow readers to suspend disbelief long enough to not want to skillet into insensibility both your character and you for creating him.