https://www.worldometers.info/coronavirus/coronavirus-sympto...
Notably, the COVID-19 infection rarely seems to cause a runny nose, sneezing, or sore throat (these symptoms have been observed in only about 5% of patients).
That doesn't mean you didn't have it, of course, but does suggest it might have just been a cold.
Edit: The way I experience is is that there is a constant tickle in my throat. It sometimes get so strong that I can't hold back a cough but most of the time it just stays a tickle. I call that sore throat, when I got it initially it surprised me and I got a cough attack but after that I've been able to suppress it and not cough for days.
The cough is probably because of lung issues. Apparently sore throat is only a symptom in 1/6th of cases but the dry cough is present in 2/3rd. There's also sputum in 1/3rd of cases, that's lungs / trachea mucus.