Definitely not OTT I would have done exactly the same without a second thought. I burst into tears one day early on when I went to pick up DD from child care. She was 8 months old and it was the first day I'd left her for them to put her down for a nap. You know she has sleep issues and we had just got things on track so I had done her nap for 2-3 visits to help her get settled. So this day I went to pick her up at 12:30 (dropped off at 9:30 and due for a nap). They tell me she wouldn't go down for a sleep so they kept her up and tried again to get her down at 12:15!! I freaked. So she had been asleep for 15 minutes and I thought I'll just take her home she must be exhausted and hopefully she'll stay asleep. Go in the bedroom and she was laying face down in the cot sobbing 😢 I was so upset they didn't call me as I work next door and they knew I'd been finding the childcare transition hard and I would have come to get her and just tried another day 😔
There was also another day when we were still doing trials and I was going to leave her for the first time. It was bedlam in there that morning lots of upset babies needing attention at once and if i had left DD she may not have got attention so I stayed for an hour with her then took her home.
Clearly I have major separation anxiety 😔
But I definitely don't think what you did is OTT. I hope the next experience is much better.