Marriage (1996)

Blurb:
It’s been several years since their high school graduation and a few long time friends at the Fun Fun Company are starting to talk about marriage.

While each of them have their own love dilemmas, Shizuka is the only one who seems to have no interest in a love relationship. The others around her are concerned about her quiet ways and her unnoticed beauty.

So, her best friend, Maki, registers her in a dating service called 'The Wedding Club' and Shizuka reluctantly agrees to meet her compatible match.

But when the man she is introduced to is not exactly her type, Shizuka wonders if her red string of fate has already been cut just as another man appears before her...

Source: www.anisearch.com/anime/1569