Daniel, I would say the trenches are not straight across the hill, but a little more downhill than that, but not as much as 45 degrees from a straight line down the hill. If a basic drawing of a feather had 45 degree lines coming off a straight line, that's what I mean by 45 degrees, and that would allow the water to move too fast. I don't want the water to race, just move at a reasonable rate, not sit and saturate.
My hillside is steep. I drew a picture of it at this thread, as I am working on an erosion spot on the edge of a flat plateau. It's a 500-foot fall over a 3,000 foot run (it's not a mile, that was an error on my drawing)
https://permies.com/t/49438/earthworks/Pond-swales-erosion#399559
And for ease of maintenance, digging a pond deeper, rather than trying to build a dam to hold back water, makes for a much more stable situation when it overflows, especially if you have gophers, voles, any digging rodents that will get into a dam. I have two family members who are constantly struggling with the dams that hold back their ponds, bad storm rains are constantly eroding around and through them. I didn't build my pond, but I thank heaven every day that the previous owner just dug deeper. When water gets out of control it's too late to go out there and try to do something in a bad storm, with pounds of clay on each
boot and clinging to the shovel with every shovelful. There's plenty of things to do already on a rural piece of property without adding that to it.
I try to get my place so that when I hear heavy rain on the roof I am not up all night thinking, oh, *&%$, what's happening to the driveway? What's happening to the pond? What's happening to the hillside?
Mediterranean climate, hugel trenches, fabulous clay soil high in nutrients, self-watering containers with hugel layers, keyhole composting with low hugel raised beds, thick Back to Eden Wood chips mulch (distinguished from Bark chips), using as many native plants as possible....all drought tolerant.