As Brodie888 says, "too tight" just means you haven't warmed up enough, relaxed with foreplay, the top has gone too fast (lack of experience? lack of empathy with the bottom knowing when it's too much, too fast?), and not enough lube.
Pro tip: there's no such thing as too much lube.
If you're bleeding, a) you will likely know it because you'll be in some amount of pain. Bleeding occurs at the sphincter, not deeper inside you unless you've put something sharp up in there. Second, unless you've ruptured a major blood vessel, even the most aggressive painful sex will only produce a few drops of blood... which can be disconcerting but isn't ultimately dangerous. What's more problematic is that if you're bleeding at all, you are doing something wrong and need to learn how to do it better.
You don't have any sensory nerve ending in your ass past the sphincter, so you don't "feel" anything really. You may feel the pulsing of his dick as he cums, or if he shoots close to your hole you might feel it go in. But once inside, you really don't feel anything going on inside unless he's very long (in which case you may feel movement deeper inside), or unless he's a massive shooter, in which case you may feel some increased volume... which again is about the only sensory feedback that comes from inside your anal cavity... the sensation of needing to use the bathroom. But otherwise most of the sensation of being fucked is just your hole and your horniness is filling in the rest.
Also, after someone cums inside you, lots of people do go to the bathroom a short time later because the cum is often accompanied by lots of lube (did I mention you should be using lots of lube?), and air gets pushed in there too. That makes for the risk of a fart that is messier than you might expect. So pushing it out into the toilet is often the way to avoid cleanup later. But if you leave the cum inside you... surprise! The mucous membrane that lines your anal cavity will usually absorb it and by morning there's nothing much going to be left.
So... a) BOTH you and your partner need to learn how to do anal sex in a way that doesn't risk damage because if you're worried about bleeding, you're doing it wrong; b) you probably need more lube; c) cum inside you may be hot, psychologically, but physically it is a non-event.
Good luck!