This is a game of 25€ NLH.
Preflop it's a 82:18 (Roughly a 4-to-1) win for AA against KK every time.
Of course that can rapidly change when ...
The flop comes Kh-5h-Jh. Suddenly villain is a 65:35 (2-to-1) favourite.
So, I am behind but holding Ah leaves me plenty of outs with my A-high flush draw (with the A in the hole). All hearts and all Aces would do me well now.
The turn comes 6h and my flush is made. Now I have a 77:23 (roughly 3:1) chance of winning again.
The only thing that can't happen now is the table doubling giving villain either a boat (kings full) or quads (4 of a kind w/kings).
The river comes 3c and I dodge the final bullet and take down the entire pot of 200 BB (or two buy-ins of €50 EUR)