I have grown tomatoes on the west side of a building where they did not get any sun until after noon. They did well.
I can see how that fence could create quite a shady area in the morning, but the area should get lots of good afternoon sun if there are no trees blocking the sun. I think most things would do OK there.
Welcome to the forum.
Gardening at 5000 feet elevation, zone 4/5 Northern Utah, Frost free from May 25 to September 8 +/-