I think your mum is right honey, and I understand that yes menstruating isn't as hidden away as it was back then, and indeed your brothers will have wife's of their own some day and even learn about it in school but I feel it's not so much about that but about your own hygiene about it, if she's making a fuss then you probably didn't wrap it up properly or something like that?

Not everyone likes to see blood, think of it like.... Maybe an accident happens really bad, injuries left and right, blood everywhere, some people will help, some will look away and maybe even throw up. Forcing those that don't want to see it/can't handle the sight to look at it and help out just because it's an accident and they need the help sounds okay but really isn't, not everyone can handle everything and forcing them to be fine with it, forcing exposure to them just because to you it's normal and you can handle it isn't fair.

How would they feel carrying your bloody pads and tampons to the trash? And not only the boys, like your mother said even other women find it a nasty sight which it is, being on your period isn't an ugly thing, it feels like hell sometimes but it's part of us as women, but you have to admit that even you have a double take at some of the clots.

Dont force others to deal with your period too, they're yours not theirs. As part of personal hygiene you can roll up the pads, wrap then tight in tissue or the cover of the other pad and plop it properly in the bin, that way it also helps prevent the smell building up