I always see that term and wonder about its ambiguous meaning.

Urban dictionary:

trotskyist: A socialist (not a communist) who follows the political ideas of intellectual Soviet Revolutionary and writer Leon Trotsky. Trotsky belived that democracy can not survive in a capitalist system (because it will be overtaken by the oppressive elite, sound familiar?), and that socialism can not exist without regular democratic elections (because it will be overtaken by a egomaniacal fascist piece of shit like Stalin, Lenin, or Mao). They also belive that the ultimate goal of socialism is to bring about world peace and create a global community where all people are equal. Naturally, Trotskyists (or trots) are hated by both right wing AND left wing fascists.