Sarah
Love that your backyard minyan waits for the women to finish shemoneh esrei.
“Or does my avodas Hashem come first?”
Avodas Hashem is always first. sometimes Your avodas Hashem may be to not inconvenience other people sometimes it may mean daven longer. Weighing whcih aspect of your avodas Hasehm trumps the other is your question.
however I don’t think you provide enough details to answer