When a reply is received to an email you've sent, SendBoard adds a comment to the card containing the content of the email. The card doesn't move back to the Inbox list, because that might interfere with your board workflow or other automations.
But you are able to use Butler to set up whatever type of action/notification works for you and your team. For example, when a new email comes in, set a label on the card or move it to the top of the current list.
Here's what your Butler rule would look like if you wanted to move cards to the top of the inbox lane.
when a comment starting with "📩 [Email]" is posted to a card by @sendboardbot_xyz, move the card to the top of list "Inbox 📥"
Note that you'd need to use the unique bot name for whichever bot is on your Trello board.
If you're new to Butler, you might want to first read through our Introduction to Butler for Trello. You'll also find a bit more detail on how to set up this Butler rule below.
The trick here is to trigger the Butler rule to run when a reply is received. Butler is able to identify comments that are inbound emails because they always start with a very specific set of characters. i.e.
Outbound emails that you send from Trello will start with the characters
✉️ [Email] (note that the emoji is slightly different)
So your complete Butler should look like this:
The second part of an automated Butler rule is a set of actions. i.e. What should happen when the trigger fires.
In this example, we simply want to move the card to the Inbox list.
You can add multiple actions to a rule. So you might also want to
add the green label to the card or maybe set a due date or checklist item to the card to deal with the reply.