Do you have children, a full time job, and no childcare? Do you care for an ailing parent and coach three Little League teams? Are you wheelchair bound and painting your entire house on your own with a broken arm? No? Then you're likely not too busy to pursue your career.
"Busy" is, usually, relative. When I was in my 20s and working a job, while pursuing my career, exercising, and spending time with friends, I was busy. In my 40s, I'm working full time, taking care of my 3 kids, exercising, spending time with friends, and a lot of other stuff I won't bore you with, and I'm still busy. Unless you're in the process of planning your retirement party, don't plan on being any less busy any time soon. Get to work now.
What's my tip for this Tuesday? Work on your career every day. If you're not pursuing your career as a writer, filmmaker, actor, or whatever it is you're doing, every day, then you're not really pursuing your career. Even just 30 minutes a day can make a difference.