Your tutor has suggested one good way to say it, but it is not the only way. You do not have to use the present participle, and you do not need to use "will". Other good choices are: my boss has a day off today...
..so there's nobody to ask me to do anything for a while!
..so nobody will ask me to do anything for a while!
..so there's nobody asking me to do anything for a while!
All are good. The present participle ("asking") is optional. By using it, you emphasize that action will be taking place over a period of time ("for a while"). Although I follow that logic, I do not agree with it. _Not_ doing something over a period of time is not continuous action at all - it is inaction! I prefer the methods that don't use the present participle. But, all the examples work.