Sometimes defects like these put character into your bible so be careful trying too hard to make things perfect.
I have one bible that has wrinkled pages that occurred in high school. I was outdoors with my youth group and it lightly rained.
I still remember that day and the people I was with, only because of those pages.
But if you want to try... there are a couple of different ways.
FIRST
Simply place the page between two flat, white cardboard sheets and press for a day or two between a stack of heavy books.
SECOND
Place the page on top of a thin, flat cardboard sheet.
Smooth the page out by hand being VERY careful since tears can occur.
Holding the bible a few inches from the iron and use the "Delicate" or "Steam" setting for no more than 2 minutes to soften the page (
less time if it is very thin paper) -
don't get it wet just
barely moistened.
Again but
even more carefully, smooth the page out by hand - tears can easily occur in over-moistened paper.
Apply pressure over night.
This is my book press.
THIRD
Ironing on a soft ironing board will work.
Put a lightly moistened cotton towel over the page to insure you don't scorch (burn or yellow) the thin paper of the Bible.
Smooth the page out by hand.
Use a very low setting!
Rob