Am I an asshole for sending the kid home?

A child came in yesterday had a diarrhea blowout within maybe 30 minutes of being at the center. Okay cool I change her, things happen. Okay maybe less than an hour later it's playtime, she needs to be changed again as I see liquid all on her outfit. Check and change her it's diarrhea again and even more liquid than before. Okay this is now twice, and we require three times to send a child home. We'll not even ten minutes later she needs to be changed again and it's all on her clothes. Change her, get her a new outfit which I payed for because she didn't have anymore and the daycare was out of extra clothes. Call her mom to pick her up letting her know she has diarrhea. Mom brings her today with an attitude to me claiming she didn't have diarrhea yesterday it was just a blowout. That she works in daycare and knows the difference. No ma'am, I've worked my job 8 years I know diarrhea at this point. And it was just that. You literally have her soiled clothes you can see it all on it. And don't lie she didn't go again yesterday cause I 100% guarantee she did. And you're just mad you had to get her. But this mom kept fussing with me, and I had to accept the kid even though we have a policy saying they stay put 24 hours after being sick. So she wasn't supposed to come today. And now my boss is bitching at me like I sent a healthy sick home for no reason. Like no, she was sick and still is. Girl literally has mucus running all out her nose yet I'm the bad person for sending her home because she has diarrhea?

Am I an asshole for sending the kid home?
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