question about router vs gateway

hi, sorry if this is dumb, i googled a lot but cant seem to find a proper answer. I just moved to a new apartment and i have a router in the living room and in my room there's a gateway. I need a stable wired connection for playing fighting games competitively in my room, and I was wondering, is there a big difference between getting a wired connection from the router in the living room or from the gateway? Honestly i just need the stability, as the internet speed seems fast as it is.