Personally I would have no hesitation running the car for a few days with this in it. Have you sprayed soapy water on it to see if air escapes? From what I can gather repairs can be done with this kind of damage by fitting a vulcanised plug so a new tyre should not be necessary. Hopefully the object has not penetrated the tyre and can simply be pulled out then you can sit back and just enjoy the long drive back from the tyre specialist!
