Some doctors allow their patients to continue taking estrogen, even orally, if it is bio-identical. I'm thinking that since ciswomen can undergo major surgeries and still have estrogen coursing through their bodies, then if we do the same, take the same form of estrogen in a manner that it is delivered straight into our bloodstream, we should be treated the same. This is just my thought on the matter and opinion. I'm NOT a doctor and you should follow your doctor's recommendations BUT it would still be worthwhile to discuss this with them just in case they end up agreeing with you, who knows?
I also heard some anti-androgens needed to be discontinued like Spiro due to potassium/sodium effect and cyproterone due to affecting coagulation. Heard nothing about finasteride, nor bio-identical progesterone.
I personally continued taking bio-identical estrogen sublingually throughout my SRS, with finasteride, bicalutamide (stopped 1 day before surgery) and progesterone. No complications whatsoever.

As always though, I repeat...FOLLOW DOCTOR'S recommendations. These are just my thoughts and personal opinions on the matter, not intended as advice but as info you could then share with your doctor.