Thursday's vote by the House of Representatives to undo major parts of former USA president Barack Obama's signature domestic achievement, which enabled 20 million more Americans to get health insurance, was Mr Trump's biggest legislative victory since he took office in January. Democrats are also refusing to participate in any effort to dismantle Obama's law, while some Republican senators - Rob Portman of Ohio, Shelley Moore Capito of West Virginia, Cory Gardner of Colorado and Lisa Murkowski of Alaska - object to cutting Medicaid, the federal-state health care program for the poor and disabled.
Another ad launched unusually early in the congressional re-election season comes from AARP, and targets House Republicans, warning that people with pre-existing conditions could face premium hikes of as much as $25,000 a year under the House-passed bill.
With the Senate now poised to take on the issue of overhauling the health care system, the Massachusetts Democrat said she hopes Republican chamber leaders avoid advancing the House-passed American Health Care Act - legislation which Warren called "dangerous".
"No I don't, because I think the micro-management of Medicaid by the federal government", Ryan replied.
Experts say Trump's health care bill gives huge tax cuts to the richer people.
Mick Mulvaney, Mr Trump's budget director, also said the version that gets to the president would probably differ from the House measure.
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As the focus of the health care debate shifted to the Senate, Trump on Sunday urged Senate Republicans to "not let the American people down". "We have worked hard to improve the legislation, but we have a long way to go". Sick people will be grouped with other sick people in their own high-risk pool - which will result in such high premiums, co-payments and deductibles that many if not most won't be able to afford. The bill has provoked widespread condemnation as hospital associations, consumers and insurers have said the new proposals would make health care less affordable. "You will have the opportunity to enroll in some type of health insurance, but your premiums are going to most likely be such that you simply can not pay for it", she says.
Acknowledging the angry crowd some House Republicans faced in town hall meetings since the vote, Price suggested that those concerned with the new bill "talk to their doctor, talk to their provider".
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Addressing criticism on the lack of transparency in drafting the AHCA, Ryan said they are "bogus attack from the left".
The vote has been viewed as a potential watershed moment for Democrats in their goal of winning back the House. Any Senate Republican who joins them will regret it as well.