The message of the PowerPoint was unmistakable.

Eliminate references to “diverse students” and the word “marginalized” from websites and policy statements. Scrutinize and reconsider phrases such as “systemic racism” or “vulnerable.” Add more references to concepts like “opportunity” and “equal access.”

Lawyers for NYU Langone Health, a leading hospital system in Manhattan, proposed these changes to the hospital’s website late last month, according to an internal PowerPoint presentation that contained a list of “trigger words.” By changing the tone and deleting certain words, lawyers for NYU Langone hoped to comply with a flurry of executive orders and other policy dictates from the Trump administration — and avoid losing funding or being investigated.

The PowerPoint presentation, obtained by The New York Times, offers a case study of the far-reaching impact of the Trump administration’s broadsides against D.E.I. programs and the way private institutions — such as a major hospital on Manhattan’s East Side — respond.

The presentation makes clear that NYU Langone’s lawyers viewed the administration’s new policies as creating a legal minefield for the health care system and its affiliated medical school.

Some of the administration’s executive orders are aimed at ending “diversity, equity and inclusion” programs at universities, hospitals, federal contractors and large corporations. Others were directed at transgender individuals and the doctors and hospitals who provide puberty blockers, hormones and other medical treatments to children and teenagers who want to transition.

“Many organizations feel like they’re walking a tightrope in an untenable situation,” said Laura Alfredo, the general counsel of the Greater New York Hospital Association, a trade group representing hospitals.