Hi Amber, sorry to hear you're not feeling well.
Check your medicine to see if it's sugar free (or has no added sugar on the label).
You can also get throat lozengers that are sugar free for your sore throat.
If there's no sugar it should not affect your blood sugar readings. However, being sick can elevate your blood sugars.
Keep drinking lots of fluids and checking your BGLs every two hours.
Hope you feel better soon