Stop dating jerks book
Unfortunately there is no quantifiable or simple rule here, as his threshold for embarrassment will vary in proportion to his shyness and his pride, which are different in every man. Well, for starters, in the early stages, you will need to give him blatant signs of your interest.
So be careful about how much (and which) initiative you take.
If a girl doesn't approach or initiate contact with a shy man, nothing will happen.
This is true, but handling this situation isn't as simple as you might think...
If they have even the slightest doubt about your intentions they will hold back.
So whatever you would normally do to indicate your interest to a confident man, double or triple it for a shy man (in proportion to his shyness): While I don't suggest that you overtly ask out a shy guy on an "official" date (this would too flagrantly undermine what he knows to be his role as described above), I do suggest that you suggest and then ask him to hang out under casual pretenses.