How many GetBiggers noticed the bloody footprints and the Keystone Cops type 'chase' at the JOKER conclusion?
Yes, suggests he killed her, the more you think about the movie the more plot holes you come up with, maybe it was all in his head, the original scenes with his shrink, the woman at the end was prety much teh same, so was he in teh asylum all the time and just imagined it all...