I love Iida X Hatsume and I know that is a rare pair. Rare in the sense that there aren't that many ships for Iida. I think (don't quote me on this) the two most common ships for Iida are Iida X Uraraka (in a pair the spares sense) and Iida X Momo (a smart kids in class, class p and class vp kind of thing). And lets face it both of those girls have way more popular alternatives (Deku, Bakugo, and Tsuyu for Uraraka and Jiro and Todoroki for Momo) so even the most common ships for Iida are pretty unpopular. With Hatsume on the other hand not only do they have the smarts thing in common, but Hatsume let Iida win their match at the festival when she easily could have won and she has been making gadgets to try to help him. Plus Iida has the patience to deal with Hatsume eccentrics and it does disrupt any of the mainstream ships.