The same way I peel a lemon - I wash the whole thing, cut it in to quarters or 8ths, and chuck rind and all in to whatever I'm drinking after giving it a good squeeze. You can't really peel a lime - the skin is tougher and really sticks to the edible part.
I hope you're ok and were able to patch yourself up! And like someone else said, "detox" isn't necessary, and in cases like this it seems to actually be dangerous. ;)
Do something everyday that your future self will thank you for.
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