No, transgender athletes should have their own category because of the hormonal and physiological differences

Transgender people aren't necessarily hormonal or physiologically distinct. Not all trans people medically transition. Furthermore, intersex people may identify as their assigned gender but still require hormone therapy, making them cisgender people on HRT (it's more common than you might expect, many cis men and cis women have hormonal problems that require medical treatment or surgery). Trans people and cis people aren't really all that different. That you think they are reveals your transphobia.