Al-Qaeda leader Osama Bin Laden was unarmed when he was killed by US troops on Sunday after resisting capture, the White House has said.
Meanwhile, the CIA has said it did not tell Pakistan about the operation for fear the Pakistanis would leak information and jeopardise the mission.
Pakistan's intelligence agency, the ISI, says it is embarrassed by its failures on Bin Laden.
The Pakistani government denies any prior knowledge of the raid.
Bin Laden, aged 54, was the founder and leader of al-Qaeda. He is believed to have ordered the attacks on New York and Washington on 11 September 2001, as well as a number of other deadly bombings.
Al-Qaeda clues
Mr Carney said Bin Laden's wife "rushed" the first US assaulter who entered the room where they were, and was shot in the leg but not killed. On Monday, White House officials said the woman was killed in the firefight after Bin Laden used her as a human shield.
"We expected a great deal of resistance and were met with a great deal of resistance. There were many other people who were armed in the compound," Mr Carney said.
Bin Laden himself then resisted the troops and was shot dead, but was not armed, he added.
The CIA is already examining material seized in the raid, including computer hard drives, DVDs and other documents.
No decision had yet been taken on whether to release a photograph of Bin Laden's body, Mr Carney said, conceding that the image was "pretty gruesome" and could inflame some sensitivities.
A Time magazine article, billed as Mr Panetta's first interview since Bin Laden was killed, reports that "the CIA ruled out participating with its nominal South Asian ally early on".
It quotes Mr Panetta as saying "it was decided that any effort to work with the Pakistanis could jeopardise the mission. They might alert the targets".
Pakistan received $1.3bn (£786m) in US military and humanitarian aid last year, and provides logistical support for the Nato mission in Afghanistan. However, relations between Islamabad and Washington have been strained by US suspicions that the ISI is covertly backing militants in Afghanistan, and by anger over US drone strikes in Pakistani tribal areas.
Pakistan's foreign ministry has defended the ISI and issued ia lengthy statement in which it expressed "deep concerns and reservations" about the unilateral US action.
Insisting that unilateral action should not become the norm, the ministry stressed that Pakistani intelligence had been sharing information with the US in recent years.
"As far as the target compound is concerned, ISI had been sharing information with CIA and other friendly intelligence agencies since 2009."
Earlier, an ISI official told the BBC's Owen Bennett-Jones in Islamabad that the agency raided the compound in Abbottabad, just 100km (62 miles) from the capital, when it was under construction. It was believed an al-Qaeda operative, Abu Faraj al-Libi, was there.
But since then, "the compound was not on our radar, it is an embarrassment for the ISI", the official said. "We're good, but we're not God."
The compound is just a few hundred metres from the Pakistan Military Academy - the country's equivalent of Sandhurst or West Point.
The US has not commented on anyone it captured or had planned to capture, other than saying it had taken Bin Laden's body.
However, the Pakistani foreign ministry statement said that the rest of Bin Laden's family are now "in safe hands and being looked after in accordance with the law".
Earlier, in ian opinion piece in the Washington Post, President Asif Ali Zardari admitted Bin Laden "was not anywhere we had anticipated he would be".
But he denied the killing suggested Pakistan was failing in its efforts to tackle terrorism.
http://www.bbc.co.uk/news/world-south-asia-13274176