Is it normal to be friends with someone you hate?

There was this person I knew at work. We hung out during lunch and sometimes met up at events.

One evening, she said something really evil to me, saying I was working too many long hours and that it's not fair to the rest of the team.

After that, things were the same. We still hung out. People in the office were outgoing so they tended to ignore personal issues. Everyone thought we were still best friends.

In my mind, though, I deeply hated her and every time her back was to me I wanted to strangle her. When she quit I even invited her to a farewell dinner. But in my mind I was imagining that she was eating poisoned food. I watched her eat and knew I was going to cut off contact as soon as she left.