Could i be allergic to my cat?

Well my my friend has three large cats and ive gona over to her house quite often, sometimes overnight or 2 days. Ive never had an allergic reaction to them. But a couple days ago a got a new kitten and id say bout a day or two after i started to get an itchy throat , it didnt hurt it just felt kinda scratchy nd i lost my voice a little bit. now my nose is running alot and im sneezing and coughin often. my eyes havent really gotten watery, only sometimes when i cough. and occasionally ill get like a little itch in my throat. nd also i dont really feel like tired like u normally do when your sick. idk if its just a cold or wat ? but wat do u think ??