Exactly why it's important to ramp up testing as soon as possible so that it is widely available and easy to obtain for everyone.
The FDA just issued an emergency order calling for 1 million doses to be distributed, they know it works! But you are right, they need to be able to get test results within 45 minutes, NOT every single symptom of something is coronavirus. My 15 yr old cousin was very sick for a week, puking, diarrhea, low grade fever, he got tested and after 5 days of waiting the results were negative