showing skill, cleverness, and sensitivity when interacting with people or dealing with difficult issues often in the form of having a strong sense of what to say and when in order to remain pleasant and not offend/upset;
e.g. It will take a great deal of tact to gain this information from her without making her suspicious.
(noun)
a perception or presentation of something that is sensitive and/or aesthetic/appealing;
e.g. The movie's director showed great tact in handling such a sensitive theme.