Hi..yes its a good form of exercise but if you want to play regularly you need to strengthen ur elbow and also proximal and distal joints i.e..shoulder and wrist properly..u need to do warm up exercises before you start your matches..for painfree and good play...right now for your acute condition elbow support is temporary and not permanent solution.. If you go for proper Physio treatment to decrease inflammation, subside pain , guide you with proper stretching and strengthening exercises..aqua therapy is equally good..tc.

U can use elbow support but avoid strain at that time apply hot and cold pack for 20 minutes for alternative . And tk muscle relaxant medicine If u feel better then OK otherwise tk physiotherapy treatment for few days for pain relief and strength exercise

Badminton is a very vigorous exercise and it requires to be physically fit and flexible to play and can't be used as casual sport Proper warmup and stretching exercises are required before you even start playing. Rest is a must but better you plan some other exercise like swimming