The video had been initially shared in a private group chat for gay men in politics, before being leaked online.
Salazar said that her staffer's comments "do not reflect" the senator or her office.
The House bill would provide $14.3 billion for Israel as it responds to a deadly Oct. 7 attack by Hamas, but also cut the same amount of money from the IRS.
The Department of Homeland Security employee had shared images praising Hamas paragliders.
Washington has not had an ambassador to Israel since July, when Tom Nides left the post. Now, former Treasury secretary Jack Lew will take it up.
The caller lashed out at Nevada Senator Jacky Rosen’s Jewish heritage and her Israel advocacy, according to the charges.
A confirmation hearing for Jack Lew, the nominee to be the next ambassador to Israel, is scheduled on Wednesday.
Pelosi, a Democrat who twice served as House speaker, is the first woman to hold the position that is second in line for the presidency if the president is incapacitated.
Daines visited Jerusalem as concern was high among officials that Iran was purposely inflaming tensions in the West Bank to distract Israel from its pursuit of a nuclear weapons program.
Michigan State Senator Sylvia Santana said that she "should have exercised better discretion" before going on the trip.