Without you she would definitely going into gambling, so that dont make you a bad father. The question you should be asking yourself right now is how come she got into gambling. Have she at any point see you gambling and then pick interest?

After figuring all of these then you will know your influence towards her. If she is gambling by her own will, its all good but if she is doing it because she watched you do it then you might have influenced her wrongly at that tender age.