Ms. Zacharia was shadowed by questions about how she had presented her legal career and handled her first and final press briefing.

Former Rep. Mike Rogers, Michigan’s Republican Senate nominee, repeatedly invoked the Muslim Brotherhood during his first debate with Democratic nominee Abdul El-Sayed, mentioning the group five times and accusing his opponent of taking money from people who “openly support Hamas, Hezbollah, al Qaeda.”

Katie Zacharia is leaving her role as White House press secretary after a brief and challenging tenure.