Yer darn right it's reached a new level.
Congratulations!
Was the cat nearby and possibly observing your reaction?
Your cat has just demonstrated how much it appreciates you by sharing its catch (food) with you. This indicates that it considers you as a surrogate 'family' member. It may even realise that you could not have caught that dove on your own, so it is also an example of its hunting skills.
If it had not wanted to 'share', you would have never seen that dove - it would have been consumed somewhere quiet and away from any chance of interruption.
Chances are that your cat is probably female and possibly spayed. This is not unusual behaviour for such animals.
Rather than simply disposing of such 'gifts', perhaps a better course of action would be to locate your cat, give it some attention while 'accepting' the 'gift', and putting both of them outside. This would possibly have two benefits - it shows your appreciation of the 'gift', while returning the prey to the hunter so that it can be consumed in a more appropriate environment. If it happens again, continue to reinforce the training. With a little luck, such 'gifts' will not appear on your pillows.
Again, congratulations! In the cat's estimation, you have moved from 'servant' to 'family' - a big step.
Enjoy.