I'd recommend KissManga. It offers a decent range of josei manga titles. But keep in mind that some regions might have restrictions on accessing such sites.
Another excellent site is Wattpad. It has a large community of writers who share their original novels. There are various genres available, from romance to science - fiction. You can even follow your favorite authors on Wattpad and get notified when they post new chapters.
The reaction of site.com to manga can vary greatly. It could be highly supportive, promoting and featuring manga prominently. Or it could have a more limited engagement, only showcasing selected titles. It all depends on their business strategy and target audience.