There are a few synonymous terms that could be used in place of "Royal Yeomanry." One possible phrase is "nobility cavalry," which refers to a cavalry unit made up of knights and other high-ranking soldiers. Another synonym could be "royal cavalry," emphasizing the unit's connection to the monarchy. "Household cavalry" is another possible term, indicating that the unit serves as a protective force for the royal household. Other terms that could be used include "elite cavalry," "privileged cavalry," or "prestigious cavalry." All of these phrases emphasize the unit's status as an elite and highly respected fighting force, worthy of serving the nation's most important leaders.