I Have Had A Rash For About 3 Months And

I have had a rash for about 3 months and I'm gradually finding out that the rash is a result of one of the medications that I take daily. Could be Synthroid or Wellbutrin. When I went to the doctor at the beginning of the rash, she did blood work and my blood sugar was 136 but my doctor never said anything about this. My blood results came back that I had a bacterial infection and she gave me antibiotics. Is it normal for a glucose level to be this high when you are sick? Thank you!