It would sound natural to say "tennis tournament," "golf tournament," "chess tournament," or "esports tournament." However, it would sound less natural or even wrong to say "running tournament" (a race is more appropriate), "swimming tournament" (a meet or competition is more typical), or "weightlifting tournament" (a competition or meet is better). The implication of a "tournament" suggests a series of matches or games, not a single event judged on a single performance.