You're right, it's not fair and it stinks.
If it was a condition men suffered from they would be able to get adequate treatment without any unscientific rationing.
I am glad you're able to access the care you need privately, but you shouldn't have to.
I do think you are making the right choice though prioritising your health. We only get one body and one life.
I have a friend who fought for a hip replacement for 10 years on the NHS, and she could have afforded to pay for it, but she stuck to her principles and hobbled round in agony with a crutch on high dose morphine, pupils like pinpricks, writing letters to MPs, the health board etc. When she finally got it she felt like it was a victory that she'd saved the money, but in my opinion she's paid a much higher price as she's lost a decade of her life.
It was the same when I had IVF, I would see so many women delay starting treatment for years hoping to get it on the NHS, and by the time they either got it or were definitively told no, it was too late, at least with their own eggs.
So if you can afford the care you need, I would always say it's better to pay for it than go without.