In all seriousness, get her bloodwork done. A cat that crazy about food might have a thyroid or other medical issue.
You’ll probably have to separate to feed for a long while yet. If she starts to calm down about it, maybe you’d be able to try feeding in like…a dog crate, perhaps. In the same room, so she can smell their food. It’s a good test while allowing them the ability to eat their own food peacefully.
You can also try bowls which only open for the right collar. Amazon sells them, but they are NOT cheap: https://www.amazon.com/Sure-Petcare-SureFlap-Selective-Automatic-Stress-Free/dp/B00O0UIPTY/ref=sr_1_17?crid=O9337BSZVCPE&keywords=cat%2Bautomatic%2Bopen%2Band%2Bclose%2Bbowls&qid=1695900727&sprefix=automatic%2Bopen%2Bcat%2B%2Caps%2C57&sr=8-17&ufe=app_do%3Aamzn1.fos.f5122f16-c3e8-4386-bf32-63e904010ad0&th=1
Hello,
I think that the best step you can take is to see a vet and talk to them about your concerns and suspicions. Ask for help in addressing pain and anxiety. I like gabapentin for cats but there are lots of other options to discuss.