Oooh, so close! It's actually 'Shaun' of the Dead, which is a spelling I've never seen used apart from in this film. As for the film itself, it's not really a rom-com so much as it's just an outright comedy that happens to feature zombies. There's a romance plot as part of that, but it's certainly not the main focus. As for the gore: like the romance, there is some gore but even that's used in a comedic way as opposed to its usage in a more traditional horror film. In fact, I wouldn't even call it a horror film; it has some jumpy moments and a bit of gore, but making you laugh is the film's chief goal and it succeeds on the whole.
So, I'd encourage you to check it out, Scarfy!