i deposited about 1 BTC to my bittrex account on the same day with 0.0001 BTC transaction fees and it took about 10 minutes.
That's extremely unusual. Even with the smallest typical size of transaction, that would be a very low number of satoshi/byte which would leave it with a low chance of getting confirmed. Unless you actually mean 0.001 BTC instead.
Fees are not static, they'll vary based on the size of your transaction in bytes, which depend on how many inputs your transaction has (how many transactions you accepted in order to spend one).
No one is going to tell you what's happened until you post the transaction ID. Otherwise we have no idea what fee you actually paid in satoshi/byte.