https://dictionary.cambridge.org/dictionary/english/already
Already here means "losing patience" or "by now."
The "by now" definition doesn't make sense in your example.
The "losing patience" might, sort of, but we don't use it that way. It's not natural. These are natural:
- Alright, already! I heard you the first time!
- You've been practicing drums all afternoon. Enough, already!
- The light is green. So go, already!
I don't know whether it's used that way in the UK, but it is in many parts of the US.
No. You can say I've been hoping she'd get here ["she would get here"].What about
I have been hoping she gets here. What’s taking so long?