It's safe under circumstances.
1. Do it in private areas, people in public areas can catch you up since it's kinda suspicious.
2. If you got disconnected for a few tries, do it again after a few hours or maybe tomorrow.
If you're still doubtful about it, you can do the battlegrounde grind.
If you have the pet then yes, but if you don't you can't turn in the quest. And the pet is rare tho. Hope this helps.