You can mentioned true reason for annulment of marriage. that you were forced by your parents to marry this girl and you are not interested in her. As per your choice and wish as per Article 21 of fundamental rights are deprived by your parents. that is Right to Life.

The main object of Article 21 is that before a person is deprived of his life or personal liberty by the State, the procedure established by law must be strictly followed. Right to Life means the right to lead meaningful, complete and dignified life. It does not have restricted meaning.

You cannot take advantage of your own wrong 

2) court would  not set aside marriage and grant you anullment if you refused to have sex with your wife 

3) if you have been forced to marry against your wishes you can file for anullment of marriage on said ground 

4) you can file for divorce only on expiry of one year of marriage 

1. Firstly Marriage is not a child's play that one time you marry and next time you come out of it. What will happen to that girl whom you married , even if, for the wish of your parents . You can not spoil her life due to your spineless character.

2. Secondly you can not take advantage of her won wrongs and seek nullity.

So last option is if this girl out of her magnanimity forgives you and give you mutual divorce then you can marry your girlfriend. 

See you cannot ask for annulment on the ground of refusal of sex though annulment can be filed on ground that you were forced to do this marriage , you did not do it on free will.

Annulment of marriage will be done if you have given consent to marriage on the basis of threat or influence. The degree of evidence should be strong to win the case.

NO.

You are victim of your cowardliness. Parents cant be blamed and you may face criminal cases for ruining your wife life. 

On the ground of forced marriage, you can apply for diovrce but that will take years. And criminal case of cheating, dowry demand and domestic violence may file by your wife and in laws.

You can very well file a petition seeking annulment of marriage on the grounds that you were forced to get married to her against your willingness.

You may also plead that there was no consummation of marriage due to your unwillingness.

Dear Sir,

Non consummation of marriage entitles you to get divorce. Supreme Court Says, "Spouses owe rights and duties to each other and in their relationship they must act reasonably."

 A petition for divorce under Section 13 (1)(1-a) and (iii) of the HMA on the ground of cruelty as well mental disorder can be filed by you.

 The Court observed, “Undoubtedly, not allowing a spouse for a long time, to have sexual intercourse by his or her partner, without sufficient reason, itself amounts mental cruelty to such spouse. A Bench of Three Judges of this Court in Samar Ghosh Vs. Jaya Ghosh (2007) 4 SCC 511 has enumerated some of the illustrations of mental cruelty.”...

you can initiate proceedings for annulment on account that marriage has not been consumated. However, these are border-line cases and difficult to prove as the opposing party( your wife ) will deny the same. Ideally, your best option would be to initiate divorce proceedings under the grounds of 'cruelty' where you can also mention that marriage has not been consumated but you can file divorce after completion of one year only. There is a better chance with this option.

1. No you cannot file case for annulement on ground stated by you. 

2. But you can file case for annulement on ground of marriage by force.

Dear Sir,

You have to take personal consultation with any expert as it is a unwarranted issue and you will be trouble. It is not so easy to get divorce in India and your wife has so many laws in her favour which she may exercise as such you are advised to take rights steps and also to take anticipatory bail in advance if you wish to give divorce to your wife. If the grounds are so serious about non consummation you may built up a case and can file for annulment of marriage within one year of your marriage and you may successful.

If you don't want to live with her then simply walk away from your marriage by telling her that you don't want to live with her and hence a mutual consent divorce is best way to go.

But if she refuses then you have to tell lies in order to get a decree.

Grounds can be cruelty desertion denial of sex.

You can try annulment but you need to prove that you were forced