To get rid of a zombie you should know why he felled in love with you in the first place! Zombies are not made of the same material us humans are made out of. After all, they are the undead.
Therefore, when it comes to getting zombies not to fall in love with you, you are going to have to change your pick-up techniques. So, why the zombie felled in love with you and how to get rid of him? My assumption is that this particular zombie is a HE.
First, you seem to have brains! That is right. If you want a zombie to fall in love with you, you need to have brains. If you don't want a zombie to fall in love with you, then pretend you don't have brains. So, stop saying something smart... like "E equals MC squared!" Otherwise, this will get him swooning!
Second, fat is the new skinny! Do you think zombies are interested in skeletons? Wrong. Why would they be? They are hungry for human flesh. Therefore, the best way not to attract a zombie is to actually avoid having some meat on your bones! The more you have them the more it will keep them with you for a much longer time.... while they keep munching and munching and munching....
Third, don't feed a zombie a romantic dinner! Zombies have an appetite for flesh, but I bet what you didn't realize is that there favorite thing to eat is the brain. The reason is because it makes them feel just a touch more alive then they do when they are walking around rotting like every other corpse.
So, don't treat your zombie honey right! Don't feed them a romantic dinner of your ex-significant other's brains. Otherwise, chances are likely your former lover will have some good memories of you stored in their brain providing a delectable menu for the undead lover.
Four, don't speak to them in terms they can understand. In love communication is the key. So, if you really don't want to impress your zombie, you need to stop conversing with them in a good way.
After you have followed these short and simple steps, you should have no problems of getting rid of a zombie. Otherwise, I can see you starting a honeymoon soon. Unless you act quickly, you might be rotting along side the zombie groaning in a language only they can truly understand.