Far Cry 2 and 3 are also known for their good storylines including one of the recent ones Far Cry 5. You should try them.
And it wasn't a bullet she removed, it was the wire itself. Meaning it entered her hand because of the blast. There is an effect of removing a bullet from her leg with a piler. But one of the interesting one is when she lights a cigar and burns her wound with it to stop the bleeding.