Due to a serious wrist issue I need to drop bow weight. I got my hands on a 37#@28 Great Northern Field Bow. I put together some PO arrows coming in at 440gns. In your opinion am I handicapped for whitetails. I was shooting 45-50lb. bows before this wrist issue. Another part of this formula is all my shots are 15yds or less.

It will work.

Good to go

You can go to a,super curve to maximize performance. Max 6 or Hex 7.5 or higher.  Two blade, and 11 or 12 gpp arrows.
There is a guy on the boards that killed a moose (I think) with a 39# Covert Hunter.

As long as you follow your State's regulations.

https://tradbow.com/light-traditional-bows-for-big-game/

Im not one to take everything a pro says as gospel but you cant argue with his results. Also, many native tribes hunted with primitive 30# bows with cane arrows. A modern 37# bow is significantly more powerful than those.

The February/March issue of TBM has an article called light bows big moose...the equipment notes say he used border tempest riser with hex 7.5/39 pound limbs, acc 300 shafts with 160 grin stops heads and 125 grin adapters...never tried it but yours should work on deer...wish you the best with the rise issue