Keeping up with the new besties in the Kardashian-Jenner entertainment complex can be a full-time job.

But even in their social media panopticon, Sophia Hutchins stands apart, and not just because of her ice-goddess looks and self-promotional savvy. Sometime in 2017, tabloid stories began linking Ms. Hutchins to Caitlyn Jenner, first as “friends” and “gal pals” who shopped and vacationed together.

Before long, the tabloids said that the two were romantically involved, and often pointed out their age difference: Ms. Jenner, who is 70, was apparently dating someone younger than her 24-year-old daughter, Kendall. (Ms. Hutchins is 23.) Some reports went so far as to say they were engaged.

“Who is Caitlyn Jenner’s fiancée Sophia Hutchins?” read a headline in The Daily Mirror in 2018. ”

Ms. Hutchins has not exactly hurried to dispel those rumors. She has posted selfies on Instagram from what looks like Ms. Jenner’s bed, with the caption “home sweet home.” Another time, she created an Instagram Story and took questions from followers; when one asked, “Are you in a relationship?,” she replied coyly, “Oh yes!” without naming anyone.