It seems like the Honey Bee Inn quest will appear in the Final Fantasy VII Remake, but it will be "modernized."
The first game that will be part of the Final Fantasy VII Remake series will take place entirely within Midgar, which means that the events from the beginning of the game will feature a lot of new content. There were some fans who were worried that elements of Final Fantasy VII would be removed in the remake, but Tetsuya Nomura has confirmed that the Honey Bee Inn quest would still be in the game.
In the original version of Final Fantasy VII, there is a scene where Aerith convinces Cloud that he needs to dress like a woman in order to be able to gain entry into Don Corneo's mansion. Aerith and Cloud then go on a quest to find appropriate clothing for the mission, which includes an optional trip to a brothel that is called the Honey Bee Inn. The visit to the Honey Bee Inn includes several implied sexual scenes and the appearance of several characters who resemble stereotypical gay men, which led a lot of fans to wonder whether it would be cut in the remake.
Tetsuya Nomura has told Famitsu (via Gematsu) that the Honey Bee Inn scene would be included in the Final Fantasy VII Remake but that it would be "modernized." Nomura had previously confirmed that the cross-dressing scene would return.
It's unclear how the Honey Bee Inn scene will be changed in the Final Fantasy VII, but it will likely have its sexual content (as implied as it was) toned down, along with the removal of the scenes involving Cloud taking a bath with a group of muscle-bound men.
It bears mentioning that the developers of Final Fantasy VII were uneasy with the original content of the Honey Bee Inn and toned it down at least once before the release of the game. The Honey Bee Inn is notorious for featuring the most cut content of any area in Final Fantasy VII, which mostly involved toning down the overt references to prostitution.
One of the main concerns of fans of Final Fantasy VII is that the remake would change key aspects of the game in order to appease modern sensibilities. Final Fantasy VII was released over twenty years ago and society has changed a great deal since then. The footage we have seen of Final Fantasy VII Remake so far has mostly avoided any major changes (outside of additions to the story), but it seems that the Honey Bee Inn will be one area of the game that is different from the original.
Final Fantasy VII Remake will be released for the PlayStation 4 on March 3, 2020.