Yes, I've resolved it. That is the code, that you need to change :)
wp-dtree plugin directory has three files for pages, archives and categories. Filenames respectivly: wp-dtree_pge-functions.php, wp-dtree_arc-functions.php and wp-dtree_cat-functions.php.
If you are using only one wp-dtree tree(for example for displaying pages), so you need to edit only pages(wp-dtree_pge-functions.php) file :)
Find the text in those files:
For categories(wp-dtree_cat-functions.php), in line 101:
echo $catresults;
and replace with
echo apply_filters( 'the_title', $catresults);
For pages(wp-dtree_pge-functions.php, in line 37:
echo $pgeresults;
and replace with
echo apply_filters( 'the_title', $pgeresults);
For archives(wp-dtree_arc-functions.php), in line 123:
echo $arcresults;
and replace with
echo apply_filters( 'the_title', $arcresults);
Still, I hadn't time to fix the Titles of the trees. I'll post it later.