unfortunately there is so little material to work with for drilling and tapping and ensure you get a good threaded hole for a stud. I have seen many different repair actions here from a sheet metal screw, clean bore and a machine screw, clear bore, tap, stainless fastener inserted and flush with finished chrome plate, two side tape, and list goes on. Bottom drilled, pin with slit in bottom with taper insert, epoxy and a light tap to set/swage the taper into the pin...(jewelers saw needed here)....this should work if you remember not to gorilla grip the wrench. It is an exercise in patience that often may still not prove a worth piece but a get by till you can locate a replacement.