Cameron Wells scored 15 for the Bulldogs (18-10, 13-4 Southern Conference), who have won 10 straight and ended a 14-game losing skid against Davidson. Zach Urbanus added 11 for The Citadel, which last won at Davidson in 1990. John Brown finished with 12 rebounds.
Curry, the nation's leading scorer averaging 29 points, sprained his ankle Saturday against Furman.
Andrew Lovedale, struggling to find quality shots without Curry running the point, led the Wildcats (22-5, 15-2) with 16 points and 11 rebounds.
Curry's replacement, Brendan McKillop, scored 15. Davidson, which scored its fewest points since beating Samford 55-52 on Jan. 31, missed its first eight shots and began 1-for-9 from the field.