Yikes! Bad day to live in Palenque. Reminds me of the Conan the Barbarian lines: "Conan, what is best in life?" "To crush your enemies, to see them driven before you, and to hear the lamentations of the women."
I'm not used to Epic timings or strategic view, but let me interpret. At turn 96, you have 6 pop in your capital and another 1 pop city (Tikal) (can't tell if your culture borders extend offscreen to the NE for another city), 31 bpt, 5 atlatlists (4 now dead) and your original warrior? It's tough to survive a rush like this without an upgraded defensive military. Atlatlists are fine for barb camps and early warrior/archer rushes, but are simply no match for chariot archers, horsemen and the like.
I would think you should have had time (or made time) to swing down to pick up construction (one hop past masonry, which you needed anyway to improve the marble and stone) and upgrade to CBs, which can chew up warriors, archers, spearmen and horsemen. If you still had the 4 atlatlists who were killed, and had upgraded them to CBs (you could have upgraded three just with the proceeds from one luxury sale), this rush would be over and you'd be marching on the nearest mongolian city to extract a cash-rich peace deal. With that cash, you could rush-buy whatever buildings you neglected along the way, or perhaps another settler.
It's tough to do any of this without the pop and 6/1 seems just too low at this point in the game (repeat caveats re epic timings and possible off-screen cities). Growth is key to surviving at diety (and thriving at lower levels). Don't know how you played this, but it's tempting to keep a city on production focus to bang out units and buildings. That is dangerous at diety (and not all that helpful in the long run at lower levels).