<<Disclaimer: Verify this information before applying it to your situation.>>

Thanks, everyone, for your replies.  Suggestions included:

--the latex gloves may be coated with gluten, which may even contaminate the
instruments and the air.

--Mouthwash might alcohol

--Antibiotics, gf or not, may cause problems

--Novicane sensitivities?  Two people suggested the alternative Citanest