But she never mentioned Mr. Trump by name, much less leveled any direct criticism at the only other major candidate in the presidential race. Ms. Haley’s conundrum about how to approach Mr. Trump will surely apply to other potential competitors. Like Ms. Haley, former Secretary of State Mike Pompeo and former Vice President Mike Pence served in the Trump administration. Overt critics of Mr. Trump, like Asa Hutchinson of Arkansas and Larry Hogan of Maryland, both former governors, risk not being taken seriously by Republican voters. In 2024, with many of those voters still loyal to Mr. Trump, Ms. Haley might help Mr. Trump with perhaps his biggest weakness, suburban Republican women.