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Hi

Unfortunately due to family, church, and work obligations their "together" moments were sporadic, so what little time they could muster to catch up on girl talk was sacred.

--- I'm not sure I understand the part in bold?
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They didn't have much time together...

so = therefore

what little time they could muster = the small amount of time they could find

to catch up on girl talk = to tell each other the latest news and girly gossip

was sacred = was very precious to them
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Thanks for the answer!