Can you add a photo or two of the space? It is difficult to make suggestions when we don't know space available, fence height, what's nearby, etc.

Arbutus unedo, strawberry tree. Will get larger than 10' in time but will not get huge. A very manageable size for a small garden.

I live in an southwestern area

==>>> can you be a bit more specific ...

first.. no tree stops growing at some magical height... its all about annual growth rate.. how fast it gets to some height.. and then right past it ...

10 feet isnt going to give much shade.. especially if you want to use the shade.. as you will probably have to trim it up 6 feet or so.. to walk or sit under it ..

non invasive roots????... have nothing to do with 'surface rooted' plants ... i too would like to see the hardscape to understand the situation ...

you might be better off with a pergola.. and some vines to create your sitting area.. rather than trying to jam in trees ...

ken

At 10'-20', a shrub that can be limbed up may more appropriate.

Searching on "patio trees for the desert southwest" brings up many possibilities.

I don't need to be able to walk under it. Just sit in a chair under it. This is inland California near Sacramento.

I'm looking for "dwarf" trees that are typically grow to a short height at full maturity.

Can you grow Parkinsonia? Great tree, decorative even without leaves in winter, bees and hummingbirds love it.

Parkinsonia 'Desert Museum'

It doesn't have to be exactly 10 ft. 9, or 10 or 11 or 12 feet and anything else close to that general range should all be OK.

I still want to just add more Thujas along the main straight section of the fence. What kind of "shrub" that can be shaped into a tree would also work in these 2 corners?

It's hot, dry area during summer, but not as extremely dry as a desert.

I use Parkinsonia here; it's not just a desert tree.

sara