You can delete a row with this endpoint. As described in /lists/{listId}/rows you have to activate push to server.

To select the row for the deletion, you have to use idValues. The keys in this object is the field id and the value is the value of this filed. In the example below, we search for the row with "Doe" as value in the fourth field. You can use multiple fields in idValues.

If there are multiple matches the query parameter multiMatchBehavior will set the behavior. TakeFirstMatch will delete the first occurrence and RaiseError will raise an error without deleting anything. To avoid multiple matches you should have at least one field with unique values.

{
  "idValues": {
    "4": "Doe"
  }
}