Cyclotomic character fields and sets of primes

Let $\pi=\{ 2, q \}$ where $q$ is an odd prime.

Let $G$ be a finite group of order divisible by a prime $p \in \pi$.

We show that the principal $p$-block of $G$ contains a nontrivial irreducible character of degree not divisible by $2$ nor $q$ and with field of values contained in the $q$th cyclotomic extension.

This statement simultaneously provides a principal block version of results of Navarro--Tiep and Giannelli--Hung--Schaeffer Fry--Vallejo.