Amy Latimer’s first days as the new president of TD Garden are anything but business as usual. The 46-year-old is dealing with a National Hockey League lockout and the possibility that the season could be canceled. Latimer, who joined the Garden in 1996, has made her mark over the years with innovative premium seating concepts and the launch of Boston Bruins Digital Entertainment Network. Latimer recently spoke with Globe reporter Jenn Abelson.