A tiny division responsible for overseeing services for people with disabilities and older Americans is being dismantled as part of an overhaul by Robert F. Kennedy Jr., the health secretary.

Every Monday, Maurine Gentis, a retired teacher, waits for a delivery from Meals on Wheels South Texas.

“The meals help stretch my budget,” Ms. Gentis, 77, said. Living alone and in a wheelchair, she appreciates having someone look in on her regularly. The same group, a nonprofit, delivers books from the library and dry food for her cat.

But Ms. Gentis is anxious about what lies ahead. The small government agency responsible for overseeing programs like Meals on Wheels is being dismantled as part of the Trump administration’s overhaul of the U.S. Department of Health and Human Services. Roughly half its staff has been let go in recent layoffs and all of its 10 regional offices are closed, according to several employees who lost their jobs.

“I’m just kind of worried that the whole thing might go down the drain, too,” Ms. Gentis said.

In President Trump’s quest to end what he termed “illegal and immoral discrimination programs,” one of his executive orders promoted cracking down on federal efforts to improve accessibility and representation for those with disabilities, with agencies flagging words like “accessible” and “disability” as potentially problematic. Certain research studies are no longer being funded, and many government health employees specializing in disability issues have been fired.

The downsizing of the agency, the Administration for Community Living, is part of far-reaching cuts planned at the H.H.S. under the Trump administration’s proposed budget.

While some federal funding may continue through September, the end of the government’s fiscal year, and some workers have been called back temporarily, there is significant uncertainty about the future. And some groups are reporting delays in receiving expected federal funds.