Like so many other said, of course she can't go _out_ with him (or indeed anyone).
...at least not in her current state. But I guess poor Inaba will have to pick him up and get him to start working on that. I hope karma can find her some consolation somewhere for her hard work.
Man do I love this Manga. Nobody is being a wuss and turning small things into unnecessary drama, getting straight to the point and solve it immediately.