Here are Bus timings from Siddipet to Medak Church by TSRTC on daily basis:
Pallevelugu
Timings: 06:15,06:40,07:15,07:45, 08:15,09:00,09:30,10:00, 11:15,11:45,12:15,12:45, 13:15,14:45,15:15,15:45, 16:15,16:45,17:15,18:00, 18:30,19:00.
Travel distance is about 70Km and travel timing will be around 1 hour 30min.