Thanks for the query.
Greenish vaginal discharge
usually indicates abnormal discharge.
It can be seen in infections like trichomoniosis.
So, better go for vaginal swab culture and sensitivity once with your doctor's advice.
This will help in identifying the causative organism.
In case of severe infection, local creams may not be sufficient.
You may need systemic antibiotics along with local treatment.
So with your doctor's advice, better to go for systemic and local drugs.
If the burning increases after applying the cream, better to stop and shift to some other cream with your doctor's advice.
Both the partners should be treated simultaneously to avoid future cross infections.