Me and my girlfriend have been going out for at least 2 weeks but people start bothering us and out of nower my girlfriend says to me that if I want to break up with her. I don't want to break up with her because I love her?

You break up. This is new relationship and early on if you are discussing a possible break up let her go and move on it will only get worse

Don't tell her you love her. She will probably feel suffocated and under even more pressure. Tell her you really care about how she feels and that if she thinks breaking up is the best thing you shuld do then do it.

Just tell her the truth.