Can we turn Elise into a damage dealer?

I rly like Elise's kit so I've been playing her a lot recently, but every game i don't have 10+ kills by 20 minutes I am asked to switch to tank, and when i refuse, I just get flamed. I can see why they want me to go tank at a certain point but Elise shouldn't be this way. Her damage is very negligible unless extremely ahead, and it seems like all of her power is in her tower diving/utility areas. I just want to be able to build a champion who is in the mage/assassin category with damage.