My half sister feels like my cousin. Does this make me a bad person?

My parents divorced when I was 8 and I grew up as a single child my whole life and I would live with my mum and be with my dad every weekend. In 2016, when I was 15 years old, my dad had another child with his girlfriend. The age gap is big and I don't live with my dad so it is very hard to connect with my sister. Me and my dad don't have the best relationship and I also have my own personal problems to deal with, I'm also a university student with tons of assignments to do as well and I'm also not very good at spending time with children or looking after them. Because of all of this she feels more like a cousin than a sister and I feel bad about it. I hope we can bond better when she's older and I don't want her to feel like I don't love her when I do. But at the same time I find it very hard to spend time with her and play with her when my whole life I was so used to just being alone in my room doing my own thing. I just felt like I had to get this off my chest. I hope this doesn't make me a terrible person. I don't know what to do about this.

My half sister feels like my cousin. Does this make me a bad person?
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