To be tactless is to either be rude (without manners) or inept (without finesse). Either way, it's awkward.

Since people with tact are polite and respectful, tactless people are the opposite: rude and ill-mannered. Interrupting is tactless. Wearing a baseball hat in church is tactless. Not holding the door for someone is tactless. This word has to do with other graces besides social graces too. Being clumsy or lacking in judgment can also be called tactless, and an employee who constantly botches his job and never understands why is also tactless.

Definitions of tactless
  1. adjective
    lacking or showing a lack of what is fitting and considerate in dealing with others
    “in the circumstances it was tactless to ask her age”
    synonyms: untactful
    lacking regard for the rights or feelings of others
    lacking in refinement or grace or good taste
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    having or showing a sense of what is fitting and considerate in dealing with others
    showing concern for the rights and feelings of others
    discerning, discreet
    unobtrusively perceptive and sympathetic
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  2. adjective
    revealing lack of perceptiveness or judgment or finesse
    “it was tactless to bring up those who disagree”
    synonyms: inept
    not adroit
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