Hello, PJ and welcome!
Thanks for your question about Snowflake; she sounds beautiful!
I'm sorry to hear about your accident and hope you're doing well and Snowflake has been a wonderful addition to your household!
Sometimes, cats will stick their tongues out just a little bit for no particular reason (I had one like this!) and other times, this may be caused by an underlying oral or dental problem. However, for now, if she is eating, drinking, happy and playful, not exhibiting any symptoms of distress or pain, I would not worry too much about it.
If you continue to see this symptom on a steady basis, I always believe in erring on the side of caution, so an in person evaluation by a vet might be a good idea, to find out more.
I hope all will be well with you and Snowflake!
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