"miss" will not work, because the idea communicated is that the character speaking of John regards John as "unreasonable". To meet an "unreasonable" person is to have an unpleasant experience, rather than a pleasant experience. Nobody would say; "I hope I never MISS his path." "meet" not acceptable, accept persons are what we "meet". We do not "meet" paths, nor shake hands with paths, nor speak with paths. So why is Cross---His----Path acceptable? Because To--Cross---Someone's---Path is a common expression in the English Language, and it is familiar to anyone who has read books and seen many movies in English. . It is a difficult question for a foreign student of English, because their learning might not prepare them at all for an idiomatic expression. ./

Hello, .黄萍. Did you try looking up the word in a dictionary? cross somebody's path: (we/they) meet by chance e.g. He never crossed my path, thank goodness. He was the last person I wanted to meet.

Cross his path means something like "to walk in front of him" literally, or "to see him" in this case. So you are so angry that you don't wanna see him in front of you anymore.