The sentence should read
One of the women who dislikes me made it.
but before I go any further, I should note that the usage of whom has been in steady decline for some time, and especially in conversational English, who is the expected
form everywhere. When in doubt, simply use who; only the more persnickety prescriptivists will object.
Who is the nominative case form and whom is the objective (accusative) case form. A very basic "ear test" is to separate out the clause on its own and replace who with he or she, and whom with him or her. We would say she dislikes me not her dislikes me, and so whom is improper here.
The grammatical reason why who is correct is that it is the subject of the clause, and therefore must be in the nominative case. Substituting whom for who is a very common hypercorrection even among native speakers, but has no justification.