I really dislike rescues over dramatising stuff..
That said some species, other than humans, do indeed rape - if by that we mean forcibly have penetrative sex with someone trying to get away/avoid it.
Various apes and monkeys
Dolphins
Other species that I think you can include under that definition:
Horses (I have seen videos of stallions forcing themselves on young, immature mares, and mares who have dropped their foal only hours earlier. Chasing them to the point of exhaustion and groups of young stallions harrassing a mare, killing her foal to get to her (despite this offering no reproductive advantage, it doesn't speed up her producing his foal in any way, she'll come into season within a week or so of foaling anyway!). I've seen footage of mares killing stallions in the attempt to get away from them..
Cats - mm, hormones may make the female cat willing at least initially, however they're a species that experienceds induced ovulation, and that is induced by the male cats barbed penis, locking in and then being ripped out when he eventually withdraws.
The tomcat also grips the female by the back of the neck, which can often result in injuries, particularly if this is not the first mating and she's less enthusiastic about it.
Ducks - I'd argue the case there too, male ducks will harrass and chase a female, pile on her and not infrequently, drown her in the process. Again she is trying to get away, because intercourse is not particularly pleasant - the male has a corkscrew penis (some species also have barbs) that is very long... and her vaginal canal is also corkscrew shaped... but the other way to the males penis. The evolution of this convoluted vaginal canal is thought to be a way the female duck can retain some selectivity over her mate, given the forced nature of mating - she can clamp down and reduce the chances of the unwanted males sperm reaching her ovary (and dump it out in the water) or relax and let him deposit it nearer the ovaries.
The primates - in some cases the intent is the same as in humans, to control, to dominate, getting a kick out of it, unrelated to reproduction.
In dolphins the same applies, particularly when its groups of young males raping a lone young dolphin (male or female, they don't really care).
For horses, ducks and cats, it doesn't, whilst the female may well not want to, the male only wants to because his hormones drive him to do this, in order to reproduce. There is no hidden agenda there as far as we can possibly tell.