A full reading for Tiger × Leo meeting Rat × Gemini is on the way. In the meantime, the score above is computed from the canonical element matrix and sign-cycle distance, and the profiles below cover each side individually.
The very fact that the Tiger/Leo would vote itself Monarch of the World in a second is indicative of the problems in your life, the primary problem of which is that you're just too damn wonderful for your own good. This has a tendency to leave you miserable in your royal Leo's isolation, as others often feel they aren't good enough to share the same air you breathe.
Others had better keep an eye on you for your Rat-induced tendency to become that which they fear most -- a terminally self-obsessed egomaniac! A social hummingbird with zest to spare, you're an erratic lothario (courtesy of your Gemini heritage) who is only in it for the cheap thrills. Long-term relationships are anathema to you -- Rat/Geminis suffer from an extremely abbreviated attention span. Generous to a fault as far as your friends are concerned, you also tend to spread the wealth by treating your social calendar as a vast game of "musical chairs," with different participants every week.