Red wine as any other alcohol makes you lose water and may cause constipation.
However, it is unlikely that one glass of wine will trigger a constipation unless you are already on the edge. On the other hand, if you are already constipated you may want to consider avoiding wine or other alcohols, or eating other foods that are known to cause constipation like: dry berry, strong black tea, cocoa, white bread, sticky substances such as pudding and chocolate.