Well, this works. But it seems ugly.
{{ $existing_secretary_id=DB::scalar('select users_id from meeting__user where meetings_id = ?',
[$meeting->id]);
}}
<td><select name="secretaries[]" id="secretaries">
<option value="0">Select Secretary</option>
@foreach($secretaries as $secretary)
<option value="{{$secretary->id}}"
@if($secretary->id == $existing_secretary_id)
selected="selected"
@endif
>{{$secretary->name}}</option>
@endforeach
</select>
</td>