Your styloids are certainly long enough to potentially cause symptoms! And are a bit thick at the top which can sometimes make symptoms worse too… What are your ES symptoms, do you have any vascular symptoms , or the ‘classic’ ES ones like trouble swallowing, or both? If you have vascular symptoms this would make a difference with which doctor you see; here’s a link to the info about symptoms:
You can use the search function too to find out info about different doctors, for example @Val7426 posted this about her husband’s surgery in Turkey:
A Canadian’s Journey: VES Surgery in Türkiye Dec. 10 - General - Living with Eagle
I hope that you’re able to get some help!