If the biggest insult you can think of is to call someone of either gender "a little girl" and who thinks women shouldn't be allowed to drive, you might be a misogynist. A misogynist is a person who hates or doesn't trust women.
Misogynist is from Greek misogynḗs, from the prefix miso- "hatred" plus gynḗ "a woman." The English suffix -ist means "person who does something." The prefix mis-, a variant of miso- before a vowel, appears in the opposite term misandrist, which is a person who hates or doesn't trust men. The corresponding nouns are mysogyny and misandry.