Welcome to BYC!
Why are they separated from the flock.. sounds like hell for her.. 1-1 is almost never a good rooster to hen ratio.. She'll be over mated before long. A few seconds is all it takes, so won't effect fertility.
She'll go broody when she's ready (I've has a few from hatchery lines that never did).. how many eggs are in the nest is irrelevant. Leave a fake one and collect real ones daily.. you can keep a week to 10 days worth on the counter.. so you have them ready to tuck under her when she does.
You should never expect an unbroody hen to tend or care for eggs. She's just as likely to eat them should they accidentally break.
Only my most obsessed of hens went broody after just a few eggs.. most will lay for a couple months at least, in my experience. This is hormonal and not under their control.
My well balanced Silkies would lay about 4 eggs per week and go broody 1 or 2 times per year. My unbalanced and quickly eliminated from the flock Silkie went broody every 3rd egg she laid.. EVEN when allowed to sit and raise chicks to full term.. by third egg.. again and again.
Congrats on your new layer!