I grew up there, went to college there, I went to the grade school 3 blocks from there and I had a friend whose apartment was a block north of that intersection.
Assuming it is an uncontrolled intersection (no stop signs), the southbound driver on Lathrop has the right of way over the cyclist eastbound on Van Hise. Van Hise ends at Lathrop, the cyclist either had to turn left or right on Lathrop, any vehicle on Lathrop has the right of way.
I feel bad for the cyclist and I hope she recovers quickly but traffic laws apply to both cars and bikes.