Ray Dillinger sent a link to the latest Skin Horse strip, in which he observes that
The word "Dude" is used here as an interjection, followed by a (feminine) noun in direct address. The "person" directly addressed is a sentient hive of bees, who is (are? We lack grammatical categories for singular intelligences with plural bodies…) apparently getting divorce papers from a sentient cypress tree.
If this is not entirely clear to you, you may want to read the strip in context, and to recognize that Unity (the one with black-and-white hair) is addressing Gavotte (a swarm of bees who is also her boss). The other characters around the table are Sweetheart the dog, Moustachio the Thinkonium, and Dr. Dennis "Tip" Wilkin.
If you're still puzzled about the plot, you're on your own. But note that we documented "Dude, man" in the comic strips back in 2004; and I can also point you to Eric Bakovic's exegesis of another dude-heavy strip here.
[As for the grammar of sentient bees, I'm not sure that it raises any issues not already thoroughly muddled in the treatment of collective nouns — see here for discussion.]