The phrase "showed the door" implies an action of dismissal or rejection. Antonyms for this phrase could include "welcomed," "invited in," or "embraced." These terms suggest an action of acceptance or inclusion. Alternatives could also include phrases such as "offered a seat," "gave a warm greeting," or "entertained." These words convey a sense of openness and hospitality, in contrast to the negative connotations of being "shown the door." By using more welcoming and positive language, we can create a more inclusive and friendly environment for ourselves and others.