Well it could be a star with a tiny mass of say 0.2 solar masses, and maybe it just recently ran out of hydrogen in its core and is now just beginning the process of expanding. It would have to be very old star since smaller stars burn hydrogen much more slowly, and at nearly 10 billion years, it kind of is a Methuselah of first gen stars, but it takes about 400 billion years to run out of hydrogen in its core.
So yeah, the size of this tiny old red "giant" is plausible. But it might take several hundred billion years to actually start turning into a red giant.