In many 'HxH Illumi x Reader' stories, the reader has a special power that Illumi wants to use for his own purposes. However, as he spends more time with the reader, his feelings start to change from just using them to actually caring about them. This kind of story often shows the complex character of Illumi as he struggles between his cold - hearted nature and his new - found emotions.
One great 'HxH Illumi x Reader' story could be about the reader being a new hunter and Illumi taking an unexpected interest in them. Maybe he's intrigued by their unique nen ability or their fearless attitude towards the dangerous tasks hunters face.
I don't think so. There haven't been any official announcements or indications that the HxH manga will continue. But you never know, maybe there'll be a surprise in the future.