You can also say "a thorn in your side" - a paper cut is very small but hurts a lot! Sometimes a problem can seem very big (hurt a lot) but is actually very small - you have to see what the real problem is and not exaggerate its extent! PS. your sentence should be "It's not the right choice. Let's face it as (if it was) a paper cut.

A paper cut occurs when a piece of paper or other thin, sharp material slices a person's skin.