I loved my stay at Susy's place! From the beginning, everything was great. Susy was quick to respond to my questions before I arrived in Lecce, and once I arrived, Susy, her husband, and their daughter met me in a piazza near the train station to show me their place.
The apartment is super cute. It's small, but it has everything you could need. Susy's husband gave me a map and circled some places I asked about, namely a caffe for breakfast (Caffe Alvino, highly recommended - try the pasticciotto), a pizzeria (La Negra Tomasa, also recommended), and the tourist information office.
I recommend Susy's place, and I would definitely stay there again if I came back to Lecce.
Note that I spoke Italian with Susy, but I think she and her husband speak enough English that it wouldn't be any problem at all to communicate with them if you don't speak Italian.