Thankfully I didn't stop estradiol for either my GRS or gallbladder surgery. When I spoke to the surgeon before my gallbladder surgery, he trusted my judgment and agreed that if women can undergo such interventions and continue to produce low to high levels of estradiol, then we should also be fine taking estradiol non-orally as our situations are similar. A recent study also concluded transdermal estradiol did not increase the risk of DVT and this is reassuring.
If you want to continue taking estradiol, you may bring up these points with your surgeon/doctor. If they still worry and aren't convinced, then you have no choice. YOU ABSOLUTELY FOLLOW THEIR RECOMMENDATIONS no matter what is asserted anywhere on the internet. But, I believe it's always healthy to converse openly with your doctors and good things may sometimes come out of it.

Best of luck with your surgery and honestly, I wouldn't worry much about it, just a few weeks and you keep taking the Spiro...but wouldn't Spiro's effects on potassium/sodium be a concern before surgery because of the IV? I would bring this up to the surgeon, just in case...