No way can you grow wisteria on a trellis like that. They get HUGE and heavy, break arbors they are planted on from the weight of it, unless it is massively reinforced. Here's a picture of one, but they get bigger than that unless intensively maintained:
(look at the bottom of the picture to see the size pillar it is growing on; nothing less than that would do)
snapdragon vine is the right size but likes full sun.
But mentioning it made me think that if you really want a vine there and would settle for it not being there all the time, maybe you could think about annual vines. They don't get so big, because of having to start over every year and there are some shade tolerant ones:
sweetpotato vine might work, morning glory (watch out it reseeds freely and can become aggressive if it gets in your garden), sweet peas.
For perennial vines mandevilla might work for you. It is tender and us northerners have to bring it in for the winter. It will tend to outgrow the trellis, but not so aggressively, a little trimming might keep it in bounds. It grows in full sun to part shade, so I don't know if it (or any of these) will tolerate your small amount of sun.