"It doesn't have anything to do with you." Uh huh... right...
I remember this sequence, last third of episode 3. They really are good friends if they can beat each other up and then feel so guilty and responsible for what happened. But, yeah, Tooru shouldn't have pushed things. To be honest, love confessions are for the parties in question. Kinda cheapens things if someone else says it, and this even highlights the fact that others won't necessarily believe it's true for one reason or another.
I will note, scanning through the show again, that episode also seems to have a possible sequence break in the middle with a segment about comparing hands, and the segment ends with a barely-hidden expression of love that feels out of place with how it takes place before the segment that adapts this chapter. Where even does that scene come from with the manga? Is it an extra later on or something? I've been seeing some scenes and such that show up in the anime with these re-scans through that don't even show up in these early chapters despite being in the first few episodes that are supposed to cover these. It's kind of confusing.
Oh well... that expression of love was 'barely-hidden'... basically Kyoko just about said 'I love you' under her breath, then frantically made excuses that she was talking about Izumi's hands. And they basically said they loved their hands to each other, and it was cute.
EDIT: OH! hahahah.... okay, so the hand comparing is the next chapter... why the hell did they put them in that order for the anime? So weird... It works so much better in the order here for the manga, since it has Izumi reflecting on Tooru's words.