I lost a long response, so i'll summarize...
---you're over 35 your risk of blood clots on bcp is high
---the bcp you're on is basically hrt (hormone replacement therapy), hrt is associated with higher risk of heart disease, reproductive cancers, and in older women bcp usage is tied in with a certain type of liver tumor
---your ovaries age out independent of bcp
----your eggs accumulate chromosomal damage by a certain age, you can conceive but your risk of miscarriage from trisomies, downs, is very high
---you may want to wean yourself off bcp (your hrt) because the current thesis on hrt is "lowest dose shortest time"...Try skipping every other day, no need to menstruate (no sugar pills), or take half a day, or work to a quarter, or try a patch or half or quarter a patch, whatever makes you feel ok...Until you're off, it's a short term bandaid, it's not going to preserve eggs nor ovaries, but you need another bc method as long as you think you'd be otherwise menstruating
---you may have some withdrawal as your ovaries shutting down is simply being masked by the exogenous hormones, you just put off the inevitable a bit
===remember menopause in other cultures is no deal (not even a big deal, it's a nothing)...It's relief from reproductive issues, it's the end of an era, it's supposed to be this way for humans, imagine getting pregnant at 60 like an orangutan can (in their years) it's ok, don't overreact to your receptors adjusting to lower estrogen and screaming at you over it, you'll survive it even if you suffer a little along the way, your fat cells produce estrone (why meno women get bellies) and this will help you into your golden years