BEIT UR AL-FAUQA, West Bank — In a small stone house on the edge of a sleepy Palestinian village, a 90-year-old woman ran a string of wooden prayer beads through her gnarled fingers on Friday, silently reciting the 99 names of Allah, while a maelstrom of world politics swirled around her and her granddaughter, Representative Rashida Tlaib.

Ms. Tlaib’s relatives had spent days busily preparing for her planned visit to the Israeli-occupied West Bank with a congressional delegation. They worked the phones, posed for photographers and chose a sheep to slaughter for a traditional Palestinian feast.

Then the emotional whiplash began. Israel, urged by President Trump, denied Ms. Tlaib and a colleague entry. Instead, Israeli officials said Ms. Tlaib could come on a personal, family visit to see her aging grandmother, with conditions, and she agreed. Then, after being accused of selling out the Palestinian cause, she changed her mind.

On Friday, soon after noon prayers at the village mosque, when it looked like the congresswoman could visit the West Bank, her grandmother, Muftiya Tlaib, seemed relieved if unsure. “I’m happy that Rashida may come,” she said. “But I hear they won’t let her.”