The word "narked" is primarily used in British slang to describe a state of annoyance, irritation, or displeasure. Some synonyms for this word could include "annoyed," "irritated," "exasperated," "frustrated," "aggravated," or "bothered." Other similar terms to describe this feeling might include "peeved," "irked," "miffed," "put out," "displeased," or "fussy." Depending on the severity of one's irritation, additional synonyms could be more appropriate, such as "enraged," "incensed," "outraged," or "furious." It is important to choose the appropriate synonym based on the tone or context of the situation.