Is it right to stand up for a friend and at the same time hurt someone elses feeling?

today my best friend got into a sadden depressed mood because she is tired of these "people" talking behind her back and then pretending to be cool with her. She was so upset she started crying and believe it or not, about five other friends were pretty mad that those same "people" talk behind their backs too and those "people" can get away with murder while the other friends can't. So we went far away from them and then were talking about it and then we saw those "people" coming and my best friend started crying frantically and stated that she didn't want them their. So me and this other girl when and told them to wait about 10 minutes to talk to the six girls crying who were upset and this one "person" from those "people" told me to back off cause i have nothing to do with it and i said, you are exactly correct but i'm here to tell you that she doesn't want to talk to you right now. and the other "person" from those "people" said back off its nothing with you get out of our business you don't even know whats going on. I told her, "well, excuse me but i may not be part of it or knowing what the heck is going on but when my best friend is crying, i know for a fact i am here for her and she told me she doesn't what you right now, so go away and come back later. i mean how would you feel if someone bursted your bubble. think about others." that "person" from those "people" turned around and walked away crying. i felt really bad cause i might of hurt her feeling however my best friend and her boyfriend were always there for me and now this was my chance to show her i was here for her. did i do something wrong here? all i feel like is crying.. i did something good yet i hurt someones feeling in the process. what should i do?