In particular, she has dropped her earlier support for a global cap on annual increases in insurance premiums. She also has dropped rules that would have restricted the number of insurance companies that could compete in different regions.
Robert Blendon, professor of health policy and political analysis at Harvard University, has identified both of those measures as contributing to the enormous opposition her plan drew from the insurance industry.
While dropping the more onerous insurance regulations, Clinton is still likely to cross swords with the industry by requiring insurance companies to sell policies to anyone who applies and by barring them from charging sick people more.
The insurance industry is likely to argue that guaranteed issue and community rating will not work unless other "cost drivers," like the cost of medical liability insurance, are addressed.
To tamp down criticism that could come from small businesses, she would not require them to provide health insurance to their workers. She would, however, provide them with a refundable tax credit to make health insurance more affordable.
There is still likely to be a contentious fight over what number of employees defines a small business.
Asked about the prospect of an employer mandate, the National Federation of Independent Businesses (NFIB) signaled its likely opposition if it were to affect its members.
"That's something that obviously we would have a problem with," said NFIB spokeswoman Stephanie Cathcart.
"We can't afford it now," she said, referring to the cost of providing health insurance. "Why would telling them that they have to provide it make it more affordable?"