How will people be able to find my Facebook email address?
If you choose to set up your email address, by default your Facebook email address does not appear as part of your contact information on your profile. However you can easily adjust your messages privacy setting to share your email address with friends.
Important note about your Facebook email address
Your Facebook email address is the same as your public username. So if your Facebook URL is facebook.com/publicusername, your email address would be [email protected]
Since your Facebook username is publicly viewable — much like a custom license plate number — this means that anyone who can see your public username (for example in a search) will be able to figure out your Facebook email address. However, you always have control over who can send you messages.