"Backdoor trot" is a slang term that refers to walking quickly and discreetly out of a situation or place, often with the intention of avoiding confrontation. There are several synonyms for this phrase, including "slink away," "skulk," "exit surreptitiously," "slip away," "depart furtively," and "exit stealthily." These phrases all share the connotation of leaving a situation without being noticed or drawing attention to oneself. It is important to note that the use of these phrases suggests a desire to avoid scrutiny or conflict, and may not always be seen as an honorable or respectable action.