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You need to first select the member from the list (which will only appear when the repository is selected), and then you can remove the member of the currently selected repository. Because the repository list can only be refreshed when you supply the Personal Access Token, obviously this means that ideally only owner of the repository should remove such a member.
From version 1.0.14.0 onwards, even a manager can add/delete members of a repository. In such a case, Git Winch will ask you for each piece of information needed to perform the action. That includes the Personal Access Token of the owner too. This means, the owner should have shared the Personal Access Token with that manager… and it goes without saying, the owner must trust such a manager if the Personal Access Token is to be shared with that person.
Important: The Personal Access Token is created at the owner's Git hosting service. This can create a big issue for the owner, if it gets in the hands of untrustworthy people.