There is so many things wrong with this statement man where to start.
Laws are fundamentally enforced by ya know force. Taxes are enforced by taking your money by force, taking your freedom by force if you disagree strenuously enough, and taking your life if you fail to submit to losing your freedom.
You can't legally force someone to associate with others because we put that in the constitution centuries ago. It's also codified in the European Convention on Human Rights, the Canadian Charter of Rights and Freedoms.
Your idea pisses on rights fundamental enough and universal enough that the entire free world agrees they are a good idea.
If it didn't you would still have to deal with people with social anxiety, people with other obligations including unplanned ones.
Would we have to go to the doctor (if we can afford to go to one) to avoid having our medical or mental safety taken from us? Perhaps go to a government office to plead our case for an exemption or excuse for not going to a party within the right time frame.
But the harshest criticism and the must fundamental is that this solution is a solution to a wholly imaginary problem. It's not substantially harder to interact with the feminine half of the species than it ever was.
In fact its always sucked if you didn't have much social status. Its worse to be low status than it is to be ugly or stupid or both.
This isn't new or shocking. If you want a mate find an individual with shared interests and use that to springboard into dating -> relationship -> partnership. If you don't like where you are at improve your position rather than asking society to fix imaginary problems with the dating and mating game.