Hmm. I see where you’re going with that, but I don’t think I could easily eliminate the second Lilly without either adding the word “she” or rephrasing it to something like:

She turned the key in the lock and pulled the heavy door, opening it wide.

That does save one word, but I really wanted “she turned the key in the lock” to stand on its own, for visual reasons as well as to put a pause in the narrative.

Thanks for the prompt suggestion - it was fun!