https://www.cdc.gov/rabies/exposure/index.html
Read this link from the CDC.
mkh9
Rabies is spread by saliva, not by scratches. https://www.mayoclinic.org/diseases-conditions/rabies/symptoms-causes/syc-20351821
You don't need a rabies vaccine as you weren't at risk for rabies, but it would be best to get the cat vaccinated against rabies so you don't have to worry about the cat spreading rabies to you - or anyone else.