of course, just open your index page, look for the query and add
where 15 is your "gay" category.
If you want to exclude it ONLY in main page but not in archives, do as follows:
Code:
<?php if ( is_home() )
{
query_posts($query_string . '&cat=-15, -20');
}
?>
where, again, 15 is your gay category and 20 is your tranny category, assuming you need to exclude more than 1 cat. Replace with your real category IDs, obviously