Not to my knowledge.
There's a story about how the symbol for the Gerudo tribe used to resemble the Islamic star and crescent and that the Fire Temple theme from OoT used to contain an Islamic chant and ninty censored them because it upset Muslim communities.
Apparently it's bupkus though. The Gerudo symbol did used to be a star and crescent moon and the Fire temple did feature an Islamic chant in early versions of the game, but the story goes that nintendo only intended to use the chant as a placeholder they pulled from a selection of commercially available stock music and the star and crescent they preemptively removed to comply with their own policies on displays of religious iconography in their games.
There is no record of any outcry or backlash from any muslim group.
As for gameplay style, it's interesting that games that feature "Zelda-like" gameplay or level structure only ever seem to get praise for using it. Unlike other games with popular playstyles that get imitated over and over again like Arkham's DDR combat or Souls-likes or even entire subgenres like Myst brought about that get blamed for spawning a legion of imitators.
Of course, sadly, the Zelda series ain't exactly ahead of the curve anymore. It's taken to being the one doing the imitating. The Zelda series doesn't receive any flattery anymore. So I don't think we're at risk of the Zelda series being blamed for kicking off an overused style and saturating a whole subset of the video game market any time soon.