Shame and fear of rejection are powerful relationship glue... but ultimately poison to the spirit. I love that your daughter was inviting interaction-- and how disempowering that it was so rejected. Two possiblities: if the girls are over, plan an activity that you lead and can include them with. String beads for necklaces, bake cookies, get out sidewalk chalk and make hopscotch, turn the jumprope. Have fun with them, but be the adult. If they are walking out of your house in a way that is rude, stop them, look them in the eye, and say, "please come say goodbye to xxx before you leave". Other times if you feel comfortable taking them aside and explaining how much xxx looks up to them, and that she is learning from them about friendship. In a nice but firm way, you can let them know that in your house, the rules are to be kind and respectful of others. You love having them over, but they need to be able to follow those rules. Be the Mom, it's okay to protect your kids, and to model that there are standards for how to treat others, and if they are the girls in your neighborhood, they're going to interact with your daughter anyway. Under no circumstances let your daughter play at their house--- recipe for disaster. If they're that rude at your house, and your daughter is that enamored with them, you don't want her at their mercy.
And yes, look for other friends. Keep trying for a playdate... soiemtimes it takes awhile to coordinate busy schedules! If you have to, sign up for another activity. Or try a church, if that suits you... our kids have found valuable friendships outside of school through our church.
Our family friends had older girls, and they were sometimes rude to our daughter. My husband let me know he didn't want her to play with them at all, or only under adult supervision. It was hard, because it meant that we saw this family less often. But I do think it was the best for her. It's a little harder when they're the only ones in the neighborhood!