Question about Reborn and curses.

I've tried looking around and couldn't find an actual answer to my question. I'm playing as a reborn cleric in Curse of Strahd and got bit by werewolf. I failed the Con saving throw and have been infected with lycropanthy, however the curse only works on living creatures. Since reborn are technically undead to an extent would the curse still take root or not? Should it be left up to the DM? I think this one of those situations that wasn't 100% thought about when the race was made. To me since it explicitly states the "person died and yet still lives" that the curse shouldn't take hold. Just thought I'd get input from others. Thanks in advance!