Let g be a fixed holomorphic cusp form of arbitrary level and nebentypus.Let x be a primitive character of prime-power modulus q=pγ In this paper,we prove the following hybrid Weyl-type subconvexity bound L(1/2+it,g(⊕)x)≤g,p,ε((1+|t|)q)1/3+εfor any ε>0.