The phrase "shows the door" means to dismiss or eject someone from a particular place or situation. The antonyms for this phrase would be to invite or welcome someone. To welcome someone would be to greet them warmly and make them feel comfortable in a particular space. An invitation would be an offer to attend a particular event, gathering, or meeting. In contrast, showing someone the door, on the other hand, would be to communicate that the person is no longer welcome or needed. The opposite of dismissing someone would be to acknowledge their worth and presence, affirming their value to the community.