I am trying to make an anime style model with a good topology but I keep running into quads (faces with 4 vertices). If I tried to make it square it would really mess up the model. The model is supposed to be for animations. I have the quads on the cheeks of the mesh and I do plan on rigging the face.
A good trig or quad topology depends on what you intend to use it for. If you want to use blender modeling function (such as subsurf, snooth and other deformations) it is better to use quad since trig can make ugly/buggy result.
Some publications say trig can be usefull in animation or game but it depend what software you use. But usually quad is better.