Louisa Maud, I had the same problem with a gold ring, not a wedding ring but it's on a wide band. My knuckle was swollen and I just couldn't get the ring off, it was made worse by the fact that the weather was hot and my fingers were a little swollen because of that. I tried all the things I read online and had been soaking my hand in water as cold as I could stand it. A friend then said to me that I should soak my hand in hot water, I thought she was batty! However, if you use hot water the ring will expand rather than contracting as it does in cold water. I was about to try that but was having a last go at getting it off otherwise - I slathered my finger in Vaseline, over and under the ring and along my finger, then a firm pull and off it came! I thought I'd never be able to wear the ring again but I tried it a couple of months later and my finger had gone back to normal and I can wear the ring again.
I hope you manage to get it off without having to resort to cutting.
