For a lot of these guys, an independent girl is someone that they know would be willing to speak her mind and let them know what she likes and doesn’t.
An independent girl is also someone that will most likely be upfront and honest with them.
He may get back in contact with you in a few days or weeks.
However, if there has been a wide distance of time since you last heard from him, it would still not be the best news if you were to hear back from him.
When a guy is truly interested in a girl, he will typically communicate with regularity and make it a point to do so.
This is how he is able to start the process of courting the girl and trying to reassure her that he is being sincere.
He communicates with you a lot, and the conversations he has with you are substantive. 
He may get back in contact with you in a few days or weeks.