Honestly for 70 Lei it wasn't a bad experience but the whole feel of the castle is almost entirely to play into the cliche vampire/medieval fantasy trope and for tourist to say they have visited a castle.
My recommendation is to visit, but keep expectations at a min. I've been twice now and both times felt lack luster and meh.
If you want a real cool castle like experience and are in Brasov, take the train down to Sinaia and visit Peeles castle. You will not regret it at all. From the grounds, the exterior and the interior, it really is something out of fairy tale or something.
Corvin's castle near Deva is another great castle to apparently vist over Bran but I never got the ability to visit so I can't speak to that as much.
You do realize that it's a choice made by the woman herself right? If you enter Othrodox church as a woman not wearing one they won't kick you out. It's also a tradition not a requirement.
I've been in my fair share of Orthodox churches in Romania and very few women actually wear a veil for normal church services.