For those readers out there who are unaware of this treatment, radioactive Iodine is injected into a cat suffering from a hyperactive thyroid gland. Hyperthyroidism is a dangerous disease and can lead to severe weight loss, hypertension, blindeness, kidney failure etc. The thyroid hormone is created with iodine so by giving the cat radioactive iodine, the radiation gets taken in by the thyroid gland and essentially destroys the benign tumour causing the problems.
To answer your question specifically, I would say that it depends upon how well your cat has responded to the radiation. Normally cats are stable after 3-5 days of injection and if this new growth is cancerous then every day you wait can reduce the prognosis. If I was your vet I would be speaking with the specialist and asking if the cat's immune system and therefore healing has been significantly suppressed with this treatment. I do feel however that time is of the essence in this case and would risk post operative complications and be more aggressive with post operative support to help your cat heal faster.
Thank you! He's recovered very well from the I131. I was told that if he needed to see a vet in the 2 weeks after he came home that the vet's office would need to do some type of decontamination due to the radioactivity he still has. Plus I wasn't sure if his immune system was compromised by the I131. It will be 2 weeks on Saturday, so I'll have to see if I can get him in next week, asap!