I find I navigate the world like a saner person when I interact with my emotions as if they were separate beings, which, really, they kind of are. I heard this from one of my favorite teachers this weekend: all emotions are welcome because they are all your children.
For some reason, that really resonated--one does her best for her children, but can't control them, shouldn't want to control them. On the contrary, the more we try for control, the more they rebel, act out, destroy.
It's a good lesson, especially that welcoming bit. Welcome each emotion. Greet it, hug it, hold it at arm's length, marvel at its complexity, then send it off. Wish it well, greet the next. You have no responsibility here but acknowledgement, no further commitment than the observation, the welcome.