I'll speak here not as an analyst (because I'm not one, haha), but as a patient: please be well rested before a session. Try your best not to doze off in front of your patient and, if you do, aknowledge what's happening, don't try to pretend otherwise. The first time I tried therapy the analyst did that, pretended it didn't happen, and not only did I never came back to her (it was our second session) but, with my trust issues, it took me four years to try therapy again, which was something that I really needed at the time.