The word "floutingly" means to do something in a way that shows disrespect or disregard for rules or conventions. Some synonyms for "floutingly" include defiantly, brazenly, arrogantly, disrespectfully, impudently, insolently, and contemptuously. Using these synonyms can add depth and variety to your writing, as well as convey different levels of disrespect or disregard. For example, "defiantly" implies a strong opposition to authority, while "contemptuously" suggests a disdainful attitude towards rules or conventions. It is important to choose the correct synonym that fits the context and tone of your writing in order to effectively convey the desired message.