Search Results: get him to stop being so clingy

So for the last few weeks I had been talking to this girl I met on a dating app. She was quite cute and she seemed to like me after some talking, she lived a few hours away. Midway throughout our talking she broke up with her boyfriend (Not due to my involvement). She started talking more with me and sent me messages every few hours. We skyped a few times, etc. So far so good, we hit it off nicely and it was fun to talk to someone.

After a while she would keep messaging me quite a lot throughout the day. She would get mad if I didn't answer within 5 minutes and I think in 3 days she said "I guess you don't want to talk to me anymore" at least 10 times. Basically she was being clingy. I told her once and obviously she got angry, but she continued the same way the next day.

At some point she sent me a sexy picture, but I wasn't looking at my phone for a few minutes. After 5 minutes she got annoyed and said "I guess I can't distract you, huh?" - "Guess I'll go to bed". I noticed it after about 15 minutes and said she looked sexy like that and good night. She replied seemingly annoyed at my good night and stopped talking.

I was quite fed up with how fast she expected me to react at any time of the day, so I ended up writing her "Sorry, I think you deserve someone who pays more attention to you. Bye." And ended up blocking her so we wouldn't end up fighting and such.

Naturally I feel quite bad about cutting her off like that. She was obviously a lot more emotionally invested in our conversations. I just didn't think things would improve and I didn't want to lead her on.

Do you think I did her wrong? Should I have done things differently? I really tried to end it the kindest way I could imagine, but it's not like I'm all that good at any of this.