Inuyasha, for all the titular character's adventures in slaying various youkai to gain their powers or save people, is at its heart about Kagome adopting a bunch of strays into a found family. Inuyasha himself is obvious, but Shippou was literally orphaned and though it wasn't onscreen whose idea it was to take him in, he says he hung around because of Kagome.
Miroku was literally a vagabond roaming around waiting to die since he had no hope of finding (or beating) Naraku. Inuyasha was vehemently against him since he had crook-like tendencies and Inuyasha is already loath to trust people. It's Kagome's influence that brought him along in the end. She was willing to give him the chance he needed, AND was the one to show Miroku Inuyasha was trustworthy in turn.
Do I even need to get into how she helped Sango?
