I need advise on whether i should tested for covid-19 on or not. i have an average oral temp of 37.3 over the last 4 hours?

Suspicion for COVID 19 is higher if you have at least 2 of these symptoms: temp of at least 99.6 F (37.5 C), Cough, Shortness of breath, Chills, Shivering, Muscle pain, Headache, Sore throat or new loss of taste or smell.

You have a normal temperature. If this is your only concern then relax.

First of all you need to have an exposure that means that you need to have a close contact with an individual for approximately more than 15 minutes unprotected meaning without mask within a distance of 6 ft that also account for a long time after that an incubation period of two to five days, but can go also up to 10 days if you develop symptoms fever, cough, short of breath.