A person who enters without any invitation

Answer: Option B

One word substitute is Intruder.

Burglar: a person who commits burglary.
Intruder: a person who intrudes, especially into a building with criminal intent.
Thief: a person who steals another person's property, especially by stealth and without using force or threat of violence.
Vandal: a person who deliberately destroys or damages property belonging to others.