Sanaz Ahari was looking forward to a visit. She is 37 weeks pregnant, and her parents were going to attend to the birth of their grandson in the coming days.

Now, it seems, that won’t happen.

President Donald Trump’s executive order Friday banned people born in seven Muslim-majority nations—Iran, Iraq, Libya, Somalia, Sudan, Syria and Yemen—from entering the U.S. for at least 90 days. A federal judge on Saturday Blocked the enforcement of parts of Mr. Trump’s order, and the situation remains uncertain.

Ms. Ahari, a director of product management at Alphabet Inc.’s Google, was born in Tehran. She is one of 187 employees Google contacted. The company counseled her to remain in the U.S., she said.

Ms. Ahari lives in the Seattle area. Visiting her parents across the border is out of the question, since she seemingly wouldn’t be able to return to the U.S. She worries the immigration order means her parents, who are a two-hour drive away in the Vancouver, British Columbia area of Canada, won’t be able to visit her either.