To tilt your head is to incline it to one side. Thus the person may have said e.g. "Is my head tilted to one side?".
From your position, you might say e.g. "Your head is slightly tilted to your left. If you could just move it slightly to your right – yes, that's fine!"
I don't see any problem with using tilt, as in "She tilted her head and smiled." However, "Is my head tilt ..." is ungrammatical. That could be the reason why you found it odd.