Harry Potter Question: Omg, im so confused!!??!!??!

Harry Potter Question: Omg, im so confused!!??!!??

When Harry is in Snape's memories, and Dumbledore says, "Have you grown to care for the boy, after all?" and Snape yells, "For him?"

Then Snape casts the doe patronus, and Dumbledore says, "After all this time?", and Snape says, "Always."


Can you explain what that scene means?

***But if you have to spoil something that happens after this then please don't answer***

Because Lily's Patronus is also a doe, and he is saying that after all this time, his love for her has never gone away.