An average Chebotarev Density Theorem for generic rank 2 Drinfeld modules with complex multiplication

Let q be an odd prime power and let A=Fq[T], k=Fq(T). Let ψ be a Drinfeld A-module over k, of rank 2 and with a non-trivial endomorphism ring. We prove an average effective Chebotarev Density Theorem for the primes splitting completely in the division fields k(ψ[d]) of ψ, with a very small error term. We also apply our techniques to study the primes of good reduction for ψ for which the reduced A-module is cyclic.