Contestants A, B, C, and D are all competing. A and B are teamed up (let's say it's a GIF with poetry included); C is only doing WOTM, D is only doing AOTM.
Voting threads go up as usual (WOTM-C, WOTM-A, AOTM-C, AOTM-A). For simplicity's sake let's say everybody's doing casual.
In the WOTM thread, there will appear (1) Contestant C's solo entry, and (2) Contestants A and B's combined GIF.
In the AOTM thread, there will appear (1) Contestant D's solo entry, and (2) contestans A and B's combined GIF.
Voting is, as always, up to the individual voters; however the intended emphasis in the WOTM thread is on the writing, and the emphasis in the AOTM thread is on the art.
Hypothetically if A+B's GIF wins the Art contest, but not the writing contest, both A and B are treated as "winners."