Many thanks for your reply. It works!
I'm using the AIO plugin so I just need to put the 'exclude'/'include' into the Query args setting.
But there is another issue: If I have more than 1 Taxonomy field assigning to the same taxonomy, only the last one saves data when updating the post.
As I have a taxonomy named Characteristic with terms for hair colors, eyes color, ethnicity,... I want to put them into different Taxonomy fields (Hair, Eyes, Ethnicity for example. 3 of them are assigned to Characteristic taxonomy) to make it easy when editing the posts.
I could create multiple new taxonomies for each of the groups but there are only 2 or 3 options for 1 group, making it too many taxonomies to manage.