Fencing is a tantalizing sport, unappreciated at best, where two oppon

1+E
Here we need modifier for fencing which is a sport.
A:- where modifies a place
B:- when modifies time zone
C:- fencing two opponents have pitched:- it doesn't mean anything
D:- having modifies previous clause i.e. fencing IS a tantalizing sport. That refers to battle. " Battle has...." Doesn't mean anything.
E:- in fencing two opponents fight a( pitched and lightning fast) battle with something...:- it conveys the required meaning

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MANHATTAN REVIEW OFFICIAL EXPLANATION:

To answer this question it helps to simplify the situation. Ask yourself, would you say: this is a competition where two people fight, when two people fight or in which two people fight? If you say where, it implies a physical location, not a characteristic of the competition. When implies a period of time, also not a characteristic of the competition as a competition. Eliminate A and B. C changes the meaning by using ‘pitched’ as a verb instead of as an adjective. C also has an incorrect order of words. D could mean that there are only two competitors who engage in fencing. In reality, while only two competitors are involved in each bout, there are many people who practice the sport. The end of option D, ‘that has’, is also not as precise as ‘with’ in the correct option, E. ‘That has’ implies that the battle, rather than the competitor, has the swords. Choice E is the correct answer.