gotta fix this

i made my aunt mad last night and she is really mad because one of my friends stayed over til 4:30am and this morning she didnt even speak to me til she got in her car and called me and she thinks i had sex with him in her house and i swear on everything in my power i didnt (id never ever disrespect her like that). i dont handle guilt well, its eating away at my soul. i have to do something nice for her but i cant think of anything because none it seems like its good enough for her. is is the worlds best aunt and she is my role model. i cant live with this guilt of me disappointing her!!! what should i do?? please help me, im going insane!!!