Your legs are short for your height. What you really need to post is an accurate saddle height and some idea of how much saddle to bar drop you can handle.
The 52cm might fit your legs, if the head tube is at least 120mm in length, but you may need a 120-130mm stem to get enough reach, as you become more experienced.
As an example, with a 73cm saddle height, a bike with a 120mm head tube, a 15mm headset top section and a 10mm spacer will produce a relatively large 9cm saddle to bar drop with an 84 degree stem. I use a 73cm stem to produce an 11cm drop.
Your saddle height might only be 70-71cm, based on your posted inseam of only 80cm. Mine's 83cm and I'm only 5'-6.5" tall.