My bad, I should've checked the patreon page for more details, I thought it was unrelated to my issue for some reason. Eva now appears in the visitation and character screens. However, Joy's second visit is pretty early, day 20 I think? After I applied the Eva fix I can now invite girls from reception again. I guess something about the loop causes that to bug out too.With regards to the Eva intro loop, 9 posts above yours it was answered. https://f95zone.to/threads/holiday-island-v0-2-1-1-beta-darkhound1.3782/post-3603417
The visitation screen isn't going to show every girl, every time. All depends on the number of girls on the island and some other elements. Your phone is a better source of information. If you click the character App as indicated and Eva doesn't show up, then you have a problem.
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The ability to invite girls to the island and send them home is something Joy grants after her 2nd visit. From your one screenshot, it looks like you have only been on the island 29 days, so I doubt you have had enough meetings with Joy as yet.
If you haven't done so already, download the Guide from the first page and/or Puppet Master's FAQ and read them. They contain information to answer just about any question you can come up with. They also contain warnings not to overuse the mod or use it incorrectly as it can BORK the game. Heed them.
Anyway, thanks!