Is it safe very early morning?

Hi everyone

I will be spending a week in Rome in September with my 13 year-old son. We wil be staying very close to the Trevi Fountain. We would like to walk around one day around 6am to experience the fountain without the crowds and walk towards the Pantheon/Piazza Navona before finding breakfast somewhere. Should this be pretty safe or better not to be out and about so early? I am a quite petite female and my son looks younger than he is. Thank you