Hello @Afs0,
Your listing does show up. I searched for accommodation in a private room in London for the 20th to the 21st of August.
I had instant book off while searching as yours is not an instant book listing.
Airbnb is really pushing instant book these days and sometimes sets the default search to be for instant book listings.
I'm not sure which dates you used in your search. One thing to note is that you must search for a range of dates that's at least equal to your minimum night stay during that period. As your listing is not instant book you must search with instant book off
I'm a bit puzzled when you say "the person almost immidiately cancelled saying that my listing might be available for dates she wanted to book". She cancelled beacuse the listing might be avaialble? If she sent a reservation request and you accepted it then the reservation was confirmed. If she then did another search for dates that included or overlapped with the dates of the first reservation then your listing would not show up.
Perhaps also she did another search but instant book was turned on this time. Then your listing wouldn't show up either.
Steve.