Badminton on Tennis court

Hi guys,

We want to learn obviously so I come here to ask instead of arguing with that one person who kicked us out of the public tennis court even tho my partner and I first arrived there playing ‘badminton’. We know it is a tennis court, but we were there first and playing a ‘racket’ game. So doesn’t matter what we were playing, pickleball or badminton. We were playing a racket game. Just my opinion. But if that is etiquette to give the court up for the actual game then ok. Lmk thank you 🙏