Don’t beat yourself up. It happens. And you treated it properly.
As for hating nail clippings… well, many buns do even though they’ve never had a painful experience. Buns in general just don’t like being held and having their feet touched and the sensation/sound of the nailbeing clipped. So if your bun hates it, you’re better off desensitizing him by clipping spaghetti near him to get hi more used to the sound, or doing one or two nails at a time and leaving the rest for another day (people keep track by drawing a little paw chart and crossing off the nails as they get done), or making a strong connection between clipping and food/treats etc.

Have you tried the “press press clip” method? There is a pinned post on it in the diet & care section, and this video explains it well:

Basically before you actually clip the nail, you press the clipper on the nail twice. If you are too close to the quick, the rabbit will flinch, so you know to readjust. I tried their technique (including how to hold the bunny) recently and it worked beautifully with both of my bunnies. 

Don’t feel too bad, accidents happen. I haven’t even attempted nail clipping, I take mine to the vets because they’re much better behaved!

Posted By Berryismyboy on 8/03/2017 1:27 PM

My rabbit does not like being held in that manner and will not cooperate in that position. I just work with whatever position I can get him that works for clipping his nails. 

Yeah, I need a helper for that position, but I was more referring to the technique of pressing on the nail with the clippers before actually cutting, to give a chance to react if you’re too close to the quick.