hide store front requesting email authentication

[LisalouB]

I am researching if I can within Shopify restrict access to my store front for individuals who have to enter their email address so are authenticated. 

I've found an option where there it states under "customer accounts" : 

- show login links:

1. New (recommended). Customers log in with a one-time code sent to their email (no passwords)
2. Classic. Customers create an account and login with their email and password. 

However, I've selected both of these options and when I test it doesn't request me to login or set-up an account? So I'm confused. 

What I'm looking to do is hide the storefront from the public and manage the access rights via people entering their emails.

So my question is it possible to hide the whole store front from the public or is there a solution to control the access?

Thanks

[LisalouB]

seems that I can do this with C: Easy Lock however, its crashed my "customised theme" and cannot get into this. IS there any better apps to work with? Thanks