Hum... yeah, that's dumb, he clearly has pockets on his coat... I'm OK with a shy guy and a strong woman, I'm even OK with him being the wimpiest protagonist I've ever seen, but now you add dumb to the mix...
I love the FMC, and I don't have a problem with a female-dominating love story, but that's just pushing it a bit far.
What's next, he won't come out of his house for a week because a cockroach died near his shoes, and he'll have to wait for her to save him?
And then, maybe he won't go to school alone anymore because there's a dog barking 3 blocks from the entrance?