Green discharge weeks after unprotected sex
I had unprotected sex about a month ago and immediately after experienced symptoms identical to those of a yeast infection (itchy vagina, yeast-like smell, white discharge). Although it was my first yeast infection, I treated the symptoms with at-home treatment (garlic and yogurt) about a week after they started and they took about 3 days to go away. The symptoms have just come back now for about a day, except this time I'm less itchy but the discharge is slightly green-ish grey.
I'm under my parent's health care so I'm reticent about going to a doctor because I'm not sure if they'd find out about it. Does this sound like I definitely need to see a gyno? What could it be/are there any at-home treatments? Thank you!