Is that person accustomed to calling men's games?
If you are doing a guy's game and you say, "Smith was able to find the open man on that play," it doesn't sound weird at all, as it is common sports lingo. It's like in the men's game if you say, "He's the team's best defenseman (or D-man)," that is accepted, but there isn't really an equivalent in the women's game. Instead, people refer to a defender, but it isn't the same thing, because the best defender sounds like you are commenting on a person's ability to defend, and maybe this is a forward.
The best announcers overcome the issue by using specific references. "Smith was able to find an open Zanon." Or switch to player or skater like you suggest. I agree that woman sounds odd.