I can't speak specifically to Eligard, but I've been getting Firmagon shots (also ADT) every month for 25 months now. After each shot, I feel pretty sick for a day or two, a bit like a flu or a strong reaction to a vaccine, but by day 3 I'm usually back to 80% of normal again (except for some swelling at the injection site).
The other thing, though, is that ADT messes with our hormones, so just like for women undergoing menopause, I get big mood swings the first week after a shot, and depression can be one of them. After a couple of years, the mood swings have become mild and rare, but a year or so ago I'd suddenly be depressed or even in tears for no good reason (until my partner reminded me that it was only 4 days since my shot).
Good luck, and I hope it also gets easier for you over time.
@northoftheborder
Try getting your oncologist to put you on Decapeptyl....every 3 months and in your glutius maximus (Ass).