Is it normal that the girl you love makes you feel insecure ?

[sillyNinja997]

So I really love this girl. She was teasing me but it was going too far so I told her. She said she'll stop and then unfollowed me on twitter. She didn't text me for a week so I thought she was mad and I asked her. She didn't answer so I said that if she was mad and didn't want to talk to me I understood. 3 days later she answered saying that she didn't have the time to read her messages cause of her exams. So I felt a bit stupid for over thinking and I asked myself if I wasn't being a little bit insecure.

Is it normal that I feel insecure like this ?
And do you think this is a turnoff or is it cute if it happens from time to time ?