WASHINGTON — California didn’t get everything it was seeking when it secured a major disaster declaration from President Trump — left out was money for numerous types of individual aid, including broader access to food stamps and unemployment benefits.

In his declaration Sunday, which Trump issued just hours after Gov. Gavin Newsom requested it, the president gave a green light for funding to help state, local and tribal governments cope with response efforts to the coronavirus.

“The request from the state of California was just received, and we will have it approved very quickly,” Trump said Sunday during a briefing on the outbreak. “We’ll be working — I told that to Gavin Newsom. And we are — we’re working on getting that done very quickly.”

In his letter requesting a disaster declaration, Newsom wrote, “It is clear additional resources are immediately necessary to adequately respond to the unmet needs of the people and businesses of California.”

He said the pandemic has disproportionately affected California and its nearly 40 million residents. Although Trump quickly approved the government aid, he didn’t address several specific Newsom requests for individuals, including:

• Disaster assistance that would provide relief to people who don’t qualify for state-funded unemployment, such as business owners and people who are self-employed. Gig workers and freelancers whose income has dried up would be included among self-employed people.

• Funding for case workers to help the state’s more than 150,000 homeless people secure shelter. Newsom said many homeless people “will not be able to recover” from the outbreak because city and county governments are soon going to run out of resources to help them.

• Funding to expand the number of people eligible for food stamps. Under Newsom’s request, people could more easily qualify for food stamps if they lose a job because of the coronavirus outbreak, and people who already get food stamps could get extra assistance.

The only specific request for individuals that Trump approved Sunday was funding to pay crisis counselors to help people struggling with mental health issues due to the outbreak. Newsom wrote in his letter that the state expects to deal with more mental health and substance-abuse problems because of the pandemic.

The Federal Emergency Management Agency, which oversees disaster relief, declined to explain why the other types of assistance weren’t granted in Trump’s declaration. An agency spokesperson said, “All other requested programs remain under review at this time.” The White House did not respond to a request for comment.

The Trump administration said in a news release Sunday that “additional designations may be made at a later date if requested by (California) and warranted by the results of further assessments.”

Newsom’s office declined to comment Monday. The governor praised the Trump administration in a statement Sunday, saying, “We appreciate the quick response and partnership from the White House.”

New York and Washington states requested similar levels of support in requests for major disaster declarations. Trump also granted those Sunday, but in both cases approved only the money for governments and for crisis counseling for individuals.

Sen. Kamala Harris has been pushing for legislation that would make it easier for FEMA to provide individual assistance to people. The California Democrat’s bill, the Pandemic Assistance Disaster Act, would clear up a legal question about whether pandemics qualify as a natural disaster under federal law in the same way as wildfires, earthquakes and floods do.

Harris said she wants relief, such as food stamps, unemployment benefits, child care assistance and funeral assistance, to be quickly available to people in a public-health emergency.

Under federal law, the president has broad discretion to grant disaster declarations and decide what types of FEMA funding to unlock. Governors generally request the aid for their states.

“At a time when a global pandemic is threatening the financial stability of working families across our country, there is no reason for FEMA to treat those impacted by biological threats any differently than when a natural disaster strikes,” Harris said in a statement.

Dustin Gardiner is a San Francisco Chronicle staff writer. Email: dustin.gardiner@sfchronicle.com Twitter: @dustingardiner