Totally dominating is a term that describes a situation where one person or entity has complete control over another. It is often used to describe a situation in which one person or group has an overwhelming advantage over another. The term can also be used to describe a situation in which one person or group has a complete monopoly on a certain market or industry. The crossword solution for the term 'totally dominating' is 'OWNING, ' which is an appropriate word to describe the situation.