Lots of threads on this topic over the years, and lots of different ideas. When I got into the hobby in the 1970's, fellow hobbyists, retailers, magazine articles, etc., divided hifi equipment into a couple of broad categories called mid-fi and high end. Mid-fi gear was from brands like Pioneer, Kenwood, Akai, EPI, BIC, Jensen, Technics, and so on, things you could find in discount stores like Jafco. High end gear was more expensive and found only at specialist audio dealers. Brands today that I would call high end include Linn, Naim, SOTA, VPI, Roksan, Vandersteen, Magnepan, Audio Research, Ayre, etc. People I would think of as "audiophiles" are those whose love of reproduced sound leads them to high end gear and systems rather than mass-market, mid-fi stuff.
High fidelity, on the other hand, I think of as meeting certain minimum standards as set forth back in the 1960's by the Deutscher Industrie Normenausschuss (DIN). Just about all the mass-market, mid-fi component gear in the later 1970's (and possibly well before that, but I didn't start looking at this stuff til 1976) easily qualified as being "high fidelity" by DIN standards, and manufacturers often included reference to the DIN standards (or some competing body of standards) in their brochures and other promotional material to show that the customer is purchasing a quality product. Mass-market, mid-fi gear can produce extremely satisfying levels of high fidelity sound. Older consoles and many of the lower-priced "rack systems" found in appliance stores back in the day did not meet high fidelity standards (though I know many people who happily enjoyed their music on such systems).
Threads on this topic show that people define these terms in many different ways. The definitions I offered are what I grew up with, and still make the most sense to me, but words can and do change in meaning over time.