in law disrespect

Today my daughters (3 years old and 2 weeks old) and I spent the day with my MIL and SIL. On our way back home my daughter asked me a question and I told her I’d think about it. I then hear my SIL (who has no kids) in the back seat coaching my 3 year old to tell me it’s a yes or no question. I then kind of snapped and told her to not teach my kid to be disrespectful to which my MIL says “that’s what aunties do!” Ummm nooooo?! Am I overreacting or do I have the right to be upset. It’s honestly making sense now. My daughter will say pretty rude things that I couldn’t figure out where it came from. For example, if I tell her no she’ll tell me I’m a mean mom or I’m not a good mom. I chalked it up to her being a threenager but now I’m wondering if she’s been taught that.