aggranoyed
To be aggravated and annoyed at the same time
The wait was so interminably long that I found myself becoming more and more aggranoyed.
aggranoying
Aggranoying (adj); more than annoying, less than aggravating, but a combination of both.
The one thing I find really aggranoying is when she refuses to argue with me, and just sits there without speaking.
Aggranoyed
When you're aggravated and annoyed - both at the same time!
Steve has made me so aggranoyed!