Asalaamu alaikum sister.
I think it's important to note that what is mentioned in the hadith is that it's a neighbour, whereas when muslims are specifically mentioned - they might be termed as brothers in the Prophetic ahadith.
We even know that the Prophets would be kind to those who were their neighbours and even any other person, even if they were non muslims.
It's clearly stated in the Qur'an;
Allah does not forbid you respecting those who have not made war against you on account of (your) religion, and have not driven you forth from your homes, that you show them kindness and deal with them justly; surely Allah loves the doers of justice.
[Qur'an Surah Mumtahinah 60:8]
Those who disbelieve, yet are at peace with the Muslims - without expelling us from our homes or fighting against us - then we should treat them good. It's our duty as muslims to be good to others, especially in todays time when we as muslims need to show a good example to non muslims of Islam - since they are getting their understanding of Islam from no-one except those who hate it.
So shouldn't we be the first people to show them that Islam really is good? Maybe this will help her or bring her closer to the truth, and she might just become muslim insha Allah.
Here's a good link aswell insha Allah;
http://www.islamtoday.com/show_quest...sub_cat_id=114
The reason why the Muslims are chosen by Allah is because we are willing to help others without expecting a reward off them, even if they are non muslim. If all us muslims had this good mentality - then we would be the most loved people on the earth. Let's do that from now insha Allah.