In the weeks since President Trump’s July 14 tweet telling Tlaib and three minority female colleagues, who are all citizens, to “go back and help fix the totally broken and crime infested places from which they came,” the lawmakers known as “the Squad” — Tlaib and fellow Democratic Reps. Ayanna Pressley (Mass.), Alexandria Ocasio-Cortez (N.Y.) and Ilhan Omar (Minn.) — have experienced a surge of interest and support. Fundraising for their political campaigns has spiked, as have their online followings. The four women have collectively drawn more than 1 million additional Twitter followers.

But the heightened notoriety has come with complications.

The women are trying to manage the risk of being perceived as more of a pop sensation than serious purveyors of policy, according to aides. And they worry that too much attention might inflame their opponents, said the aides, who spoke on the condition of anonymity because they were not authorized to speak to the media.

Amid the Squad mania over the past few weeks, aides said they had rejected pitches for photo shoots from two fashion magazines.