I believe this to be a duplicate of this question, but the accepted answer is 8+ years old and didn't work for me.

Here is a website, which wants to use the Palatino font. On my system, this falls back to Tex Gyre Pagella, also called P052-Roman. Here is what it looks like, it's immediate that the different letters don't have the same height.

The answer to the question linked above claims the problem is with hinting, but applying the fix did not work. I also tried to change the font names URW Palladio L etc to P052-Roman and Tex Gyre Paella.

Any help would be appreciated!