TimeLord said:
The Doctor doesn't kill things. He doesn't harm, maim or tickle thinks to hurt them. Turning that into a game that isn't puzzle based it a failure to start with.
He doesn't kill things himself, but things do die "by his hand" so to speak. He doesn't shoot a gun but death still finds those who push him.
If I recall he's committed genocide, granted it was a race of six or so plant monsters that would eat the earth...
Anyway the current Doctor seems to really hate Daleks, he might even not give warning before defending himself.