ウォードクター

これでない１つ以上のパーマネントがフェイズ・アウトするか、これでない１枚以上のカードがいずこかから追放領域に置かれるたび、ウォードクターの上に時間カウンター１個を置く。
ウォードクターが攻撃するたび、１つを対象とする。これはそれに、これの上にある時間カウンターの個数に等しい点数のダメージを与える。このターン、これによりダメージを受けたクリーチャーが死亡するなら、代わりにそれを追放する。

The War Doctor

Whenever one or more other permanents phase out and whenever one or more other cards are put into exile from anywhere, put a time counter on The War Doctor.
Whenever The War Doctor attacks, it deals damage equal to the number of time counters on it to any target. If a creature dealt damage this way would die this turn, exile it instead.

Doctor Who

If The War Doctor phases out at the same time as any other permanents, its first ability won't trigger.

If an effect instructs you to choose a creature type, you may choose Time Lord.

Neither "Time" nor "Lord" are creature types. Some older cards were printed with the subtype "Lord," but all of those cards have updated Oracle card text that removed that type.

Unlike other creature types in Magic that are each only one word, the two words "Time Lord" represent a single creature subtype. Time Lord is the only two-word creature type.

You choose the target of the second ability as it attacks. The number of time counters is checked at the time the ability resolves. If The War Doctor has left the battlefield by that time, use the number of time counters it had on it the last time it was on the battlefield to determine how much damage it deals to that target.