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Fencer
Sporting Context
Use 'fencer' to talk about someone who competes in the fencing sport, especially in formal or sporting contexts. 
Gender Neutral
The word 'fencer' is gender-neutral; it applies to all genders and is preferred over 'swordsman' or 'swordswoman'. 
Skill Level
'Fencer' doesn't specify skill level; can refer to beginners or Olympic champions alike. 