The term 'dismiss unceremoniously' can be broken down into three words: 'BOOT, ' 'AXE, ' and 'SHOO.' The word 'BOOT' is a verb meaning to force someone to leave, usually in an abrupt manner. The word 'AXE' is a noun meaning a tool used for cutting or chopping. Finally, the word 'SHOO' is a verb meaning to drive away or urge someone to leave. Together, these three words describe the act of forcing someone to leave quickly and without ceremony.