The meeting between Queen Rania and Mrs. Trump was quickly framed on social media as a battle of the stylish. Both women appeared in structured looks: Mrs. Trump in a kelly green dress with a center slit and belt, and Queen Rania in a black ensemble with a high neck.

Vanessa Friedman, our chief fashion critic, offered her analysis: “They both seem to have dressed for business: covered-up and suited (or in Mrs. Trump’s case, suit-dressed). It’s a very safe look, for both women, if not one that conveys fun or relaxation — or even modernity. Rather, both looks respect the office, and the idea of a state visit. Though interestingly, there is also something subtly militaristic in the tailored lines of each outfit.”

Because Americans know little about her, the curiosity surrounding Mrs. Trump is sometimes focused intensely on her aesthetic: Her official portrait, released this week, instantly spawned debate over what she was wearing, her makeup, her airbrushing choices, her outfit’s designer and her physical stance. Her meeting with Queen Rania, whose outfits are often featured in tabloids for those seeking to replicate her choices, is likely to prompt a similar reaction.