Seijo to Koushaku-sama no Banshaku ~Zense Gurume de Edzuke Shite, Nonbiri Tanoshii Nisemono Fuufu Gurashi~

Giselle, a reincarnated saint, has been ordered by the church to enter into a contract marriage with a cold-hearted duke. One of her conditions for marriage is that they have a drink together once a week!? As she drinks with the cold-hearted duke, she discovers a surprising side to him... (Source: Comic Walker, translated)