This turned out to be one of those "It seemed like a good idea at the time" things, as I ironed yards and yards and yards of fabric which was tough to orient on my ironing board. To complicate matters, I had one barfing cat (something seems to be down the wrong way and she has been wheezing stuff up - will consult vet) and one, of course, energetic kitten. This made me realize soon enough that I needed to do it all at once and keep it out of Maggie's way. As it was, whenever the pile of fabric got close enough to the back bedroom door, a gray-and-white paw would emerge from under the door to bat at it. There was much loud purring emanating from the other side of the door, indicating that Maggie thought this a capital game devised for her amusement. OK, it was pretty funny.
She did catch it a couple of times, making me glad that it is silk noil and slight slubs are part of the nature of the fabric!
Now I know why M., whose perfectionism on all things Altar Guild is well known, didn't do it himself last time. I did get some validation that this was not complete folly on my part from
Whether the wrinkles will be back after I rolled it up on a tube is quite another story, but I think I'm beyond caring at this point.
Must look for the large-sized ironing boards like Stonemountain has for its classes. If I find them I will buy two and take one into the church for large-object tasks.