Plot thickens.... Twist is good. It can become a good show. Season 1 can become a great step to introduce this Character with all of her true nature along with friends and family.
Just like Penguin in "Gotham", we are also building Alice... I'm okay if she survives for more seasons.... or rather becomes similar to penguin... just make both of them do more crazy sheets like Joker and bats... alice is capable for it already...
What needs more (perhaps from Season 2) -
1. More Excellent Plot lines with Multiple Villains. Perhaps common characters from Arrow..
2. More Great Gadgets, Equipment with Ordinary Crime fighting
3. Batmobile, Batwing(Handy for Crossovers), Ace the Bathound... (we still dont have a good pet!)
4. Worlds Greatest Crime solving Detective Batman was.... Dont copy him but we want to see those skills as well.
5. SIDEKICK, Training in Batcave, A speciality Batsuit.... :)
In short..... for next seasons take inspiration from Batman Arkham games series...