Suddenly single. What now?

Long term bf broke up with me this week and I'm feeling lost. I'm 28 with a busy lifestyle. I don't have time to date and I feel like I've outgrown hook up apps but I'm craving companionship. Right now I'm probably going to rebound if I do anything but in a few months I'll still be missing the warmth of being held and the joy of spending time with someone with shared interests. I'm awkward and terrible at making friends so loneliness hits pretty hard. I need to move on but I have so little free time that it seems impossible. Is there an alternative solution? Can anyone relate?