Was this a Bad Beat or was I playing a Donkey?

This is a $20 SNG 10 people, 4 left, blinds are 200/400

***** Hand History for Game 3924213377 *****
0/0 Tourney Texas Hold'em Game Table (NL) (Tournament 21863129) - Sun Apr 09 00:16:15 EDT 2006
Table Diablo Del Mar (Real Money) -- Seat 1 is the button
Total number of players : 4
Seat 1: mrhappy333 (4000)
Seat 2: andrebab (7716)
Seat 4: gary501 (2512)
Seat 6: BadbeatBill2 (5772)
andrebab posts small blind (200)
gary501 posts big blind (400)
** Dealing down cards **
Dealt to mrhappy333 [ Kh, Kc ]
BadbeatBill2 calls (400)
mrhappy333 raises (4000) to 4000
mrhappy333 is all-In.
andrebab folds.
gary501 folds.
BadbeatBill2 calls (3600)
Creating Main Pot with $8600 with mrhappy333
** Dealing Flop ** : [ Qs, Qc, 5s ]
** Dealing Turn ** : [ 3c ]
** Dealing River ** : [ 2h ]
** Summary **
Main Pot: 8600 |
Board: [ Qs Qc 5s 3c 2h ]

The answer below in white.

mrhappy333 balance 0, lost 4000 [ Kh Kc ] [ two pairs, kings and queens -- Kh,Kc,Qs,Qc,5s ]
andrebab balance 7516, lost 200 (folded)
gary501 balance 2112, lost 400 (folded)
BadbeatBill2 balance 10372, bet 4000, collected 8600, net +4600 [ Ah 4h ] [ a straight, ace to five -- Ah,5s,4h,3c,2h ]

Bad beat.

KK vs A4s puts you at 67% to win. So you struck out. KK is also only dominated by AA, so it's one of those hands you push everything in the middle for.

Of course its a bad beat. I think I would just raise to 1000 here though. I dont mind action with a hand like this but the problem is, if an A comes you are in trouble and you have lost alot of chips.
On the other hand if you make it 1000 there is a chance the shortstack will push over the top of you with any PP or AK/AQ and thats really what you want.

Either way you got it allin preflop with only 10BB left and thats not half bad. The fact that you were against a much worse hand makes it even better.

Tough luck on the result.