Can There Be Infection After Tear In Labia Majora Due To Vaginal Dryness?

I had intercourse with my husband a few days ago and I am still having dryness problems. Needless to say, while we were intimate I suffered a tear between my labia major and minora. It is very tender and there was some purulent drainage. I am also on the last week in my cycle so it could be a little vaginal discharge too. I am concerned that there might be an infection happening so I have been using triple antibiotic on it and protecting the cut with gauze.