Oh, yes, she'll regularly go broody. That's just what Silkies do. Banty Cochins do it almost as badly, LOL! Generally, if they hatch a batch of babies, you're good for a month or so afterwards, maybe longer... Usually, my BC hens don't go broody in the winter time, but I have had one do it her first year, and she was terribly determined. She even had a batch of eggs hidden away! Then, in the middle of winter, out comes a line of babies behind her when she came out to eat...
So, yes, this will be an all the time thing. I'm sorry. Many people think it's worth it just to have the pretty things around the yard. You'll have to decide whether that's enough of a cost to you to have the pretty hen around.