I do not think once you are elected you show up on DT , it only makes eligible to go to stage 2 of the election ( where others who passes stage 1 have to give you trust you more than they distrust you ) and where you can actually "vote" for other DT members.

you need to pass these two stages.

so even if you were trusted by everyone on the forum and you do not meet the stage 1 election rules of having your own trust list, have posted in the last 30 days etc, then you can't be on DT.

also goes the other way around, if you meet all those criteria but non of those other members who meet the criteria trust you , then you are not be on the DT.