Here are three things you could do to let go of your busyness and invite a partner into your life:
1. Notice how your busyness distracts you from the most important part of your life - your relationships. Can you honestly say that you want a relationship 100%? If not, what benefit is not being in a relationship seeming to bring you. Challenge this benefit.
2. Make your relationships a priority. Start giving yourself quality time as well. Go out with friends, go dancing, join a club or do whatever it is that will allow you to meet new people.
3. Rushing around and being busy means that you will miss the moment - which is where happiness lies - its not in the future. Find a way of calming your mind. Take up meditation and start getting to know the real you. As you slow down you will become more present and available to potential partners. Soon somebody will enter your life.