There is no need to distinguish between you and me between friends. It is not so important who is right or wrong. What is important is that you are friends. This feeling cannot be exchanged for anything. You should cherish it. So since you have quarreled for a week and have not contacted each other, don't care about face. Someone has to make concessions first.
You can choose a small gift and ask her to have a meal together. Everyone will open up their hearts and the relationship will be further improved. You can choose something she likes, even a snack she likes.
It is recommended to send DIY chocolate. Make your friendship into chocolate and share it with her. Isn't the sweet taste something you should cherish? More importantly, you can customize the words you apologize to him on it, and let a small gift resolve the unhappiness between you.