In this situation it is necessary to understand the essential difference between annulment, nullity and divorce under Indian law.
When there is legal declaration that a marriage never existed is Nullity of marriage. When a marriage from the beginning is deemed void due to specific legal violation as mentioned under the Hindu Marriage Act, 1955 Sec 5 such as:
Either of the party being within prohibited degree of relationship.
Either of the party being of unsound mind during the marriage
Either of the parties being
Whereas the legal procedure that declares a marriage voidable is annulment, that means the marriage is initially valid but could be annulled on specific grounds like:
Mental incapacity
Either of the party being impotent
Lack of consent due to coercion
In your situation as stated you were married three months ago and then your wife returned to her parents after only two days, there are various avenues you can explore:
Since she is seeking for divorce under mutual consent it is a straightforward option, as the parties can file for divorce which will be granted for a stipulated waiting period, for around six months; unless waived by the court.
File a petition in court if you feel there are grounds for annulment i.e. if there is coercion or lack of consent. You need to prove this specific ground under the Hindu Marriage Act sec 12. If the marriage does not fall under the category of void marriage, then you can file a declaration for nullity. For this you need to demonstrate that the marriage did not meet the legal requirements at time of the ceremony.
The simplest route is filing for mutual divorce, if both parties agree ensure that the parties understand the terms with regards to financial settlement. If you feel that annulment is no valid points then discuss it with your lawyer to further filling a petition in court. Collect any evidence if pursing annulment or nullity, to support your claim. The fact that your wife did not cohabit with you and the wedding ceremony took place as well is now seeking a divorce, opens several legal avenue.