“Ugly” is inherently subjective.
Objective is probably a bad choice of words because in addition to not matching individual likes, the societal "orthodox" view varries by culture a lot.
I can tell you objectively how tall they are, if one is taller than the other, and precisely how much. Height is an objective measurement.
What are the attractiveness measurements for Tom and Hailee? Which is more attractive, and by how much? What is the scale? What are the reference points? How are the instruments used to measure it calibrated?
If aliens showed up on earth, how would you explain this objective measurement to them? How would aliens rate on it? How would their native measure of objective attractiveness compare to ours? In comparison to how their measures of length, or time, or temperature, or mass, would.
No scale, yet we have plenty of beauty contests, so I'd start there for an answer. Humans are regularly compared to others. We have different tastes but, socially, "beauty" is intended as an average.
Art studies could also point you in the direction of "objective beauty"
That sounds like a subjective comparison then, not an objective one.
Edit: If people were to judge beauty subjectively, rather than objectively (as you claim they do), how would that be different?
"Objectively good looking" means "someone that a heavy majority of people would subjectively find extremely attractive".