My monitor doesn't have a DVI port.
It's a HANNSPREE, I don't know the exact model. It's 21" with an audio in/out port in the back, along with a VGA and HDMI port. I can take a picture if you want.
EDIT: Figured it out, apparently this HDMI cable doesn't have much of a mechanism for staying in the port. I just had to push it in more. Sorry for wasting your time.