Beginner's question. I'm working on the low poly version of the model on the left side of the image and I want to understand what's the best way to redirect the edge flow of my model's topology for this particular case. Is there more than one way to do it?
If what you want is to stick to quads then a good place to start is usually to make a ring of edges around the cuts (yellow) 
But to have a round bevel more contained like in the original model you need more than 2 vertices (blue) I think I'd do something like this: 
This is assuming you are using a subdivision mod to give the curvature. But like moonboots said I'm not sure you need something that complicated for this since just a few bevels and smooth shading would basically do the same for such a simple shape
I would begin with this plane:
Extrude:
Remove these faces:
Bevel these edges:
Then these ones:
Give it thickness with the Solidify modifier:
Topology re-worked, these tris won't cause any artefact or bad shading:
