The same rules apply to women's razors and men's razors when it comes to taking them on a plane. Women's disposable razors and razor cartridges are usually allowed in hand luggage, provided they are set in plastic.
Does TSA confiscate razors?
A Safety Razor is allowed through the screening checkpoint without the blade. The blade must be removed prior to entering the screening checkpoint. TSA officers are not authorized to remove the blades from the holder.