Considering that it would have no source of internal energy to provide
the high temperatures and pressures required to support it against the
force of gravity, would such a star be large or small?  Why?

Once a star has largely died out, it is small.

"As a star like the Sun ages, it exhausts the hydrogen that fuels its
nuclear fusion, and increases in size to become a red giant. Then it
ejects its outer layers into space, producing a planetary nebula. The
remnant star at the center of the nebula gradually dies away as a
white dwarf."

"A Dying Star in Globular Cluster M15" The Hubble Heritage Project

Sincerely,

Wonko

Excellent! Thanks!

I would add that gravity is actually a very feeble force.  If it was
"strong" relatively speaking (no pun intended), we wouldn't be able to
walk.  Electromagnetic forces and strong and weak nuclear forces are
much stronger.