distant and remote
aloof - reserved
An ‘aloof’ person is somebody who is not outwardly friendly and refuses to engage with others any more than might be strictly necessary. Such people tend to prefer their own company and do not feel the need to take part in social activities, which can lead to some regarding them as cold or snobby.
I thought Tim was a little aloof at first, but when I got to know him a bit better I realized he was just shy.
Sandra is a hard worker, but her aloofness means that some in the office do not regard her as a team player.
The new managerial appointment is a real breath of fresh air. Her predecessor was far too aloof and unapproachable to be a leader.