Looong rant...

Ok...advice needed😑Several things. Firstly, are you ok with parents approaching your child (without any other adult present) to discuss issues they are having with them in regards to their kids? And, how would you handle this friendship? My daughter is 11 yrs old and has had this friend for 2 yrs, well call her Becky. The first month of their friendship some small drama on video chat, parents of another kid telling my daughter not to be friends with Becky.Odd for parents to do this and Becky's Mom was livid ( as would I be) and she filled me in on the scoop that she doesnt get along with those parents.Cool, I just basically told her keep my child out of their drama. Well, my daughter was getting pulled back and forth between both girls and whenever she hung out with one, the other would get upset😑Now, Becky has been to our house numerous times and weve taken her to outings. I've had small issues with her. She curses, would hike her shirt up and walk around the neighborhood and would have a horrible attitude if things didn't go her way. My daughter would get upset and I always tell her" you can take a break and when/if you're ready start hanging out with her again" you can. So in the mean time Becky would get word that my daughter and another friend are having a sleep over or going to the mall. Becky's Mom will message me asking "is Becky invited, she feels left out". So of course I feel cornered into inviting her. My daughter is usually ok with it by then but I dont like that we feel we have invite her to avoid drama....Sorry, I know this is long😑 . Also,Becky's mom has done something questionable when she took my daughter, her daughter and another friend too the mall. Apparently Becky felt like the 3rd wheel and the Mom kept pulling Becky aside to do fun things but told the other 2 too sit and wait. Also all girls were hungry and she told my daughter " I don't have enough money to feed you" but bought her daughter chic fil la and had her eat in front of the other 2 kids😡Granted she had the money ,she took her daughter shopping at Victoria's 🤦‍♀️ ok , now to the knitty Gritty!Yesterday Becky's mom approached my daughter telling her to stop being mean to her daughter. My daughter told me and said she was confused and always tries to be nice to her, even though theirs always issues.I messaged Becky's mom and she says "The girls were making plans on snap chat and not including Becky,she got her feelings hurt". I explained to her that I might be partially responsible for that because I've been telling my daughter to only invite 2 friend because that's all I want to be responsible for. I told her that I will tell my daughter to keep her plans with other friends more private. So, I have several issues. I dont like how she didn't feed my child and the other friend at the mall, I dont like that we have to invite her daughter or else her daughter gets upset and I get a message asking "is she invited" and I also dont like that she spoke to my daughter without me present or speaking to me first..I really dont know how to approach this anymore. Do I stop the friendship completely or do we just deal with the nonsense so that it doesnt add to any more drama😑😑😑

***edit*** The mom told me this morning that she thinks it was a misunderstanding and it wasn't my daughter on snap chat making plans and not inviting Becky but other girls.