In the general, this article addresses the nature of, and relation between, canonical and log-canonical singularities of foliations by
curves. The case of equivariance under a finite group action has several peculiarities, amongst which are examples from dimension
3 onward where no birational modification can be both Gorenstein and log-canonical. The article in the specific, i.e. a functorial
resolution algorithm for foliated 3-folds in the 2-category of Deligne-Mumford champs, is thus not only optimal but natural.