I still can't figure out what theme the author wants to convey...."having fun is the most important thing" or "I need to prove I am a genius and the best". Ayano shifted her thought in the middle of the match.
The manga hasn't really explained any more why her mom left, but the anime shifted from "I wanted you to stop being so serious about badminton, thinking that winning was the only thing, so that you can make friends" to "relying on me was holding her back as a player, I wanted her to be better at badminton"