How ambitious should he be?
Should he allow Spurs to run up growing debt in the hope that spending beyond the club's means on player transfers and wages will earn us Champions League qualification?
And what if we still fall short? Spend even more money that the club doesn't have? Where does it end?
Perhaps, if your wish is granted and Levy does indeed fudge off, you'll be happy if his replacement is Peter Risdale? He was ambitious, right?
Obviously, everyone is in a bit of a tizzy at the moment because of the recent, poor run of form and especially because of Saturday's thumping at the hands of our local rivals. But now's not the time to panic or to start pointing fingers wildly.
Levy has his faults, certainly. But, short of being bought by a philanthropic multi-billionaire, we couldn't possibly be in better hands. In Levy's time at the club, we've taken a few steps back. And maybe this season will be one of those. But the overall pattern during his tenure has been one of consistent improvement.
His achievement is all the more impressive given that it has been against the backdrop of a clutch of clubs that had an apparent monopoly on the hugely rewarding Champions League berths (with the exposure and other financial rewards that go with it); and a couple of other clubs that have been beneficiaries of a mind boggling degree of financial doping. To have established ourselves at the level that we have been for most of the past seven years is therefore little short of miraculous.
Of course Levy is still hugely ambitious for the club. Unlike you, however, he understands that ambition must be tempered by prudence. Unlike you, he is prepared to remain patient in the pursuit of glory.
