I thought 3 months was the length of time you had to be here to apply for leadership of a coven, but it may have changed.
Anyway, the option to create a coven on this site has been removed. There are a lot of good covens here that you can join if you want to have people to talk to, study with, learn from, and so on. You can take over leadership of an inactive coven but you have to be a member of the site for a certain amount of time. Originally that time was three months, but it may have changed to 6 months as Lightseer mentioned.
Aside from the amount of time you've spent on the site, you also need to contribute to the forums and chat discussions. Add knowledge threads, offer knowledgeable/helpful feedback, etc. Generally, only the most qualified person applying for the coven leadership position gets picked for the job.
If you have been practicing for only a month though, you really aren't where you need to be to run a coven. Coven leaders need to be knowledgeable in a lot of areas so that they can help and advise their members. They need to be able to keep the coven active, post regularly, maybe offer classes, mediate when/if a dispute arises between members, and all those type of things.
As a coven member myself, I wouldn't feel comfortable being part of a coven where I have more years of practice and study than the coven leaders. This is just my opinion on it though. I'm not trying to be mean.