Some ideas:

• add menu to add select word to quick find like "add to search".
• auto add escape character for special characters when add to quick find.
• support custom key binding for find next and find previous (and even more operations). Currently, user need double click to select a word and use shift + * or find option in menu to start quick find. This is not so "quick". I think a single click (right hand) + a single key (left hand) is much easier.
• add search history to quick find.
• support Hyperscan for quick find.
• show total find count and current number in total.
• add shotcuts to jump next/previous match item.