I would be lying if say that 'cute' isn't subjective, but is a thing in which lots (emphasis in lots) of people are interested.

I would suggest reseting the 'cute' tag; in other words: creating a tag with a less common name, then reallocating to it the posts which fit in our standards.
If you look at the 'daww' tag you will notice how impressively harmonic it is, not only proving that is possible to make a good version of the 'cute' tag, but being a possible starting point for the aforementioned reset.