A time lord is an alien so both

Just a question, if Hat Kid's art gallery has characters from earth, would that mean she went to earth already? That might extend the theory farther.

True- it does seem like she has intimate firsthand knowledge of Earth, and she has an edited Mona Lisa in her gallery. That would imply that she's been to Earth.

So, would that mean she spied on people? That does explain why she has each different decorated room for chapters.

Maybe

Oh that reminds me, there's this character called Tim (his entry is here) and it says that he's a Time Lord, so they might actually exist in the AHiT universe.

True, but Tim was cut. The definition of "Time Lord" may have been changed. Then again, he is frozen in Queen Vanessa's manor, so that might also mean something other than a tiny reference.

Yeah. Good point.

She has time pieces

She has timestop hat

So i guess that make sense

WAIT! what if Time Pieces are used to make the essence of a TARDIS? maybe Hat Kid is trying to collect fragments of a TARDIS and bring them home to fix it! After all, we don't know exactly what makes a TARDIS, so the Time Pieces could be containers for that energy.