I’ve had a similar workflow using Evernote, where whenever I create a task in a Note - it is sent directly to my task management system (through TaskClone).
Having that possibility is something I miss with Obsidian so for now I’m solving it through a script I wrote: Automatically send tasks to your task-system
In my view, an integration to IFTTT/Zapier would be excellent where a trigger might be for example task creation or a tag being added.