Sleep problems after taking dummy away

Very recently we took my daughters dummy away. She’ll be 3 in December and she only had it at nap time and bed time. She used to nap for 2.5 hours in the day and sleep lol through the night for 10/11 hours. Well since we’ve taken the dummy away she will wake in the night at about midnight and scream and cry! I try not to bring her in our bed so I give her a kiss and a cuddle then I have to let her cry it out. Then she will wake up at 4am! And I have to go downstairs with her otherwise she will wake her little sister who still sleeps in our room. Will this get better? I’m so tired!!