I take it you received unprotected oral sex? The realistic HSV issue here is HSV1.
Do you get oral cold sores? If so then you have antibodies that make it highly unlikely to obtain a genital infection.
Coughing is not really a sign of the HSV virus so this would be more likely a more general cold or flu like infection. The fever symptoms would have a genital area centricity to them such as aches in the lower back and groin, lymph nodes sore in the groin area etc.
The sore is only thing of some concern and best to have that seen to by a medical professional. If you are requiring some comfort, you will need to wait 12 weeks for the HSV testing. Perhaps you doctor will have some ideas of what other STDs to check for, but not sure you should be convinced that this a concern just yet.
I think it is syphilis I got tested waiting for the results