My first deposit and withdrawal were in Dogecoins. I didn't use Bitcoin at all so it should be incorrect.
that is good and you can try to deposit with bitcoin, don't try too big but you can trying with 0.001 btc first to see how long it gets confirmed. and after that, you can decide to deposit with different amount. I think maybe our private wallet need to seen in the network first so bittrex wallet can see that our wallet is exist so they can accepted our deposit. but this is just what I am thinking and if I am wrong then I am sorry.