A tec taking her down-Pygmalion-what does tec mean?

In the context of "taking her down," "tec" is likely a colloquial abbreviation for "detective." It's often used in slang or informal language to refer to a police officer or investigator, particularly in crime-related narratives. In George Bernard Shaw's play "Pygmalion," this term might suggest a character's involvement in a situation that requires investigation or scrutiny.