That's not a good thing! A Turing complete type system means that compilation is potentially undecidable and non-terminating. The whole unintuitive mess in dependently-typed systems about "definitional" equality (loosely speaking, a notion of equalities that are 'trivially' checked as part of evaluation) is entirely about avoiding Turing-complete type checking!
But I mentioned its Turing completeness as a lazy shorthand to illustrate that it is far more flexible and expressive than what people think of as a "type system". https://shenlanguage.org/OSM/Recursive.html