Can I go to the hospital with a burn?

I've burned myself a few times and I just got over it but, my boyfriend burned me last night with the metal but out of our oven that had been on for hours so you can image how hot it was!
The skin around it is swollen and really red, and the actual burn is like a greeny black/red colour and the skin looks broken. It's really hurting me and it's constantly stinging!
will the hospital do anything or is it a waste of time?
Can I go to the hospital with a burn?
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