Front tooth veneer. Will it be okay during general anesthesia?

I was treated with veneer after root canal therapy for two of upper front teeth. (Due to accidental chip out). I am worried whether it will be okay with only veneer. (Not crown or full ceramic) Also, I need to have a clavicle plate removal which requires general anesthesia. I have seen many "bad" stories about tooth damage during general anesthesia. I am now frightened since I think the veneered tooth are not strong enough to withstand any unexpected force during anesthesia. Will it be okay?