I am considered obese and was turned down by several OS but the surgeon I found was not particularly concerned other than he said he might have to make a longer incision. I am also diabetic and with atrial fibrillation. I came thru okay - only complication was Cellulitis after 2 weeks but I've had it several times before so that wasn't a surprise or really related to the surgery. They did give me insulin in the hospital but only a couple of times and then my blood sugar was controlled okay with my regular oral medication.
I won't say it's been easy but I don't think my recovery has been much different than others of regular weight and non-diabetic, so try not to worry. If I can answer any other questions, I'll be happy to.