In my opinion, it would be better to straighten your teeth and get that front tooth into good alignment with the other teeth prior to having a crown. This will assure better long term stability and health. You could have a crown done without straightening, but there are a few...
Thank you for your question. It is true, some feelings do take that time to resolve sensetivity. I would consider checking your bite by your dentist. It might be slightly off. Adjusting the bite might resolve the problem. If not, this tooth may need a root canal therapy.Best of luck.