Exciting! Welcome! 
I’m not aware of any issues that would stop you from using embroider in your app. The addons themselves don’t need to test under embroider unless you’re going for full strict mode (which is not a requirement to use tailwind).
I say, ‘have a go’, and if you run in to anything goofy, let’s work through it either on the embroider+ tailwind walkthrough thread, or on discord 