We appreciate your confidence in us, and we ask Allaah to make us as you think we are.
Please note, may Allaah guide you, that it is not permissible for a Muslim man to marry a non-Muslim woman, unless she is of the people of the Book (Jewish or Christian).
See question no. 8015.
If she becomes Muslim, there is nothing wrong with you marrying her in that case.
Try to make sure that your marriage has the approval of your parents, because the approval of your parents will have a good effect on your married life, and this is part of the honouring of parents for which a man will be rewarded.
With regard to changing the name, Shaykh Muhammad ibn ‘Uthaymeen (may Allaah have mercy on him) said:
It is not essential to change the name unless it is a name that is not permitted in sharee’ah, such as names which indicate servitude and submission to something other than Allaah and the like, which must be changed. Similarly if it is a name that is used exclusively by the kuffaar and no one else, then it must be changed lest one resemble the kuffaar thereby and lest one feel an attachment to this name which is exclusively for the kuffaar or be accused of not having become Muslim yet.
See al-Ijaabaat ‘ala As’ilah al-Jaaliyaat, pp. 4-5.
In the future her changing her name will please your parents, so there is nothing wrong with your convincing her to change it to please your parents.
You should pray istikhaarah so that your Lord will help you to choose that which is best for you in this world and in the hereafter. You can learn how to pray istikhaarah in question no. 2217.
We ask Allaah to help you to do that which He loves and which pleases Him and to bless us with wives and children who will bring us joy.
And Allaah knows best.