The natural response is "no, you are mistaken." Someone somebody entered your account, one of your current friends changed their name, or you accepted their request and just forgot. When this happens, they will have been given access to all of your information, including any photos you have posted on Facebook.
However, there is no way to delete someone from your list of friends on Facebook's site. If you want to remove them completely, you will need to do so manually from your computer's desktop browser using the web address shown in your email or text message.
In addition, if you give someone permission to access your account, then anyone with that username and password can view your information. Be sure to use caution when giving out these details, as it is easy for someone to steal them.
Finally, remember that anything you post on Facebook is public information, which means that anyone who finds it can see it. Post sensitive information (such as your phone number or email address) only if you want others to be able to contact you through Facebook.
Your so-called "friend" has restricted you to public access, which means you can only view their public postings and the friends you share. It says nothing about you and everything about your "buddy," in my opinion. Delete it and proceed. There are better friends to be found. If they're blocking you, then you shouldn't be seeing them at all.
Examine the gray button to the right of the person's name. If the button says "Friend Request Sent," that signifies the individual hasn't accepted or denied your friend request yet. If the option says "+1 Add Friend," the individual has turned down your buddy request. If the option reads "-1 Remove Friend," then they have deleted you from their list of friends.
Is Facebook sending friend invitations to you without your knowledge or consent? If you answered yes, it is obvious that your account is unsecured and that someone has the authority to add new friends on your behalf. Most of the time, the culprit is a rogue program that requested such rights before you began using it. You should delete this program immediately.
In order to grant another user access to your Facebook account, they will have to send you a private message asking for this privilege. This message can only be sent to you by a person who knows your email address. They will need to include their email address in this message so that you can approve it first. If you don't do this, then the other user will be able to add them as a friend without you ever knowing about it. They can also add others without your approval if they have script access to your computer.
If you believe that you have received unauthorized messages from Facebook asking you to add people as friends, take down your laptop, remove the battery, and wipe it clean with alcohol. Any residual data on these devices may contain personal information that could damage legal claims if any wrongdoers decided to sue you.
The best way to prevent unauthorized users from adding you as a friend is to ensure that your Facebook password is not shared with anyone else. If someone gets control of your password, they can add all kinds of people as friends without your consent.
Another reason you should never accept a friend request from someone you don't know is that you have no way of knowing if the request is genuine. Hackers do create false Facebook profiles for people based on photographs they discover on the internet. As a result, never, ever, ever accept a friend request from a stranger. Not only is this good practice in general, but it also applies to Facebook especially since there are many cases where people use stolen photos of celebrities or other people without their permission.
In case you're wondering why you would want to friend someone you don't know, here's why: They may be able to provide information about you that allows others to target you with ads or convince you to change your privacy settings so they can look at more of your personal data. They may even try to trick you into giving out information about friends or family members too. For example, someone could make it appear like a friend request comes from an old high school classmate who has been missing for years. In this case, it's best to leave them off of your list until you know them better.
If you receive a friend request from someone you don't know and don't want to accept, then simply ignore it. This will tell the person that your account is not available yet and that you'll get back to them when you have time.