Upvote:3
As an EU national you can provide your wife with two options for visiting the UK...
In both cases, the application will show you where the nearest Visa Facilitation Centre is and the VFS will send the app to the hub in Croydon or Paris. The family permit is free, but you need to accompany her (or join her) at the border. She can visit the UK independently on a Standard Visitor visa.
Tip: once you have completed the application and made your appointment, you can go and create an account at the VFS site (Teleperformance). This will speed up your application.
Tip: read the guidance before selecting "Family Visitor". It's hard to back up and start over. There's a link to the guidance given when you create an account.
Tip: Overall, they don't cut you any slack from not reading the guidance. We have lots of questions here to unsnarl something that was clearly spelled out and could have been avoided. Keep a copy of the guidance open in another window and you'll be fine.