I would appreciate any one's opinion on this!

I applied for a job a few weeks ago via email. The posting closed on Feb 8th. I have been wanting to email and follow up. Is this something an HR person would appreciate or be annoyed by? My mom always suggest I do, but she is in sales and being pushy is her nature (as is mine, since I am in sales.. but this position is not a sales role).

What do you think I should do?