Won't we have too much button here ?

If you think that the "Save button" shouldn't rename but save another one, I could change the behavior.

But imagine that you just want to update a search without changing the name (and without implementing the "Rename" button), then you should:

- load a search "MySearch"

- change the filters

- save the search with a new name "MyNewSearch"

- delete the old one "MySearch"

- load the new search "MyNewSearch"

- save the search with the old name "MySearch"

- delete the intermidiate search "MyNewSearch"

Could I suggest to add a confirmation alert when trying to rename a search ?

"Do you really want to rename the bookmarked search «MySearch» as «MyNewSearch»? To create a new one, please select «New bookmark»." (Please correct if needed.)

Another minor modifications could be to add a "as" between the select input and the text input.

"Saved bookmarked search: «New bookmark» as «SortByName»"

"Saved bookmarked search: «SortByName» as «SortByNameDesc»"

After your decision, I'll try to implement it. The choices:

- new button "Rename bookmark"

- new alert to warn the user (my favorite)

- add a minor text to be clearer

Hugues.