You can't equate cat health to human health, they are very different both anatomically and physiologically e.g. cats need taurine in their diet which humans don't, cats are quadrupedal which leads to big structural differences especially around the pelvis.
I get piles, and I know when I have a little bit of blood in my poo it's that. But unless you've seen her straining away for ages then failing to poo (which in itself is an emergency for pets) then it wouldn't be that.
A cat who is a) vomiting more than usual and b) has blood in their poo most definitely NOT fine in any way.
Now a huge bloody diahhroea on my bed - and how the FUCK can you not class that as an emergency? One minute you're saying the blood may be due to having to strain a bit, then you get exactly the opposite???
Yes I suppose you do have the excuse of ignorance regarding cats (though you should have learned a bit more before adopting) and came on here to get advice, but you have been given that advice and ignored it. I was sort of understanding your PoV until you said "I cannot see what else in my post suggests she is very unwell" - we've already TOLD you those symptoms are serious.. The blood in her poo started yesterday - that's when you should have been on here asking rather than assuming that if it's OK in humans then it is in cats.
I don't normally go into full blown rant on here, but I was looking forward to a day of cossetting my dying cat before he gets PTS in the next couple of weeks and come on to read a post by someone who not only is ignorant about their own pet, but then refutes the advice they've been given by experienced cat people.😡