I feel like the game has a delayed response to controller inputs. Is there a way to fix this?

Images that are output from system will be displayed after being processed within the TV. This processing time manifests as delay time, so there may be instances where the game feels slow to respond to controller inputs. This does not mean that the system, software, or television is broken.

Some TV models have a "game mode" that you can use to shorten this processing time. See the manual for your TV for details.