Currently playing as England on Deity. Attacked by Ottoman spearman/archer/catapult force, 12 units total. Repelled & then crushed them with 4 composite bows, then drove them across the plains back to their own cities, and took their smallest city (with a scout!). Upgraded piece by piece to longbows, but it's hard going- the Ottomans now have janissaries and trebuchets. My attack is stalled, and I'm looking for a way out of this war.
Keep in mind, I've never won on Deity. I've reloaded this game twice, trying to figure out a better strateegery. My latest thought is to buy an alliance with a City State adjacent to the Ottomans, and see if their gatling guns can distract the Ottomans long enough for me to eliminate them.