Hi there, Char_x90.
I see that you're trying to set up the Health application on your iPhone 7, but it doesn't seem to be accepting your information and there aren't any apps that have requested access as yet. I'm happy to help.
How to force an app to close on your iPhone, iPad, or iPod touch -- First, force close Health application if it's open, then -- Restart your iPhone, iPad, or iPod touch -- Restart your iPhone. Once it's returned to the Home screen, try entering your data under "Medical ID" in the Health app to see if it saves. Set up your Medical ID in the Health app on your iPhone
How to back up your iPhone, iPad, and iPod touch -- If restarting your iPhone didn't resolve the issue, please be sure to have a fresh backup to keep your personal information safe. In order to back up your Health data, the backup needs to be encrypted. iCloud does this automatically, but iTunes doesn't. If you'd like to use iTunes to back up your iPhone, refer to this article: About encrypted backups in iTunes
If you can't update or restore your iPhone, iPad, or iPod touch -- Even though the title of the article isn't specific to your issue, the section titled "Put your device in recovery mode and set it up again" will walk you through all the steps to reinstall the iOS software on your device.
Use the Health app on your iPhone or iPod touch -- You can also review the information in this article to learn how the Health application works. You'll see applications that have requested access when they've been installed on your phone.
Let me know how that goes.