SophiaG,
You are a worthwhile person. You are not your illness. And even depression, awful and isolating as it is, can have a way of connecting us to other people. (Ever made or deepened a connection with someone over shared pain? For example, just yesterday, I went to an Al-Anon meeting and ended up having a very meaningful conversation with someone after the meeting with someone with a story similar to mine.I think I find myself MORE interested in getting to know people who haven't been dealt the easiest hand of cards, who have had to overcome some difficult stuff in their lives, but are surviving all the same.)

My point is, that this woman is obviously seeing something positive in you, something she would like to know better. You are already OK, "foibles and all" (as you put it.) Seeing where the relationship might go does carry with it the risk of being hurt... but if you feel the same way about her, it could bring some good things into your life as well. Not that any of us are ever "cured" by a relationship, but we are enriched by them.

for some reason, a poem by Mary Oliver is coming to mind, so I'll share it here.

Wild Geese (by Mary Oliver)

You do not have to be good.
You do not have to walk on your knees
for a hundred miles through the desert, repenting.
You only have to let the soft animal of your body
love what it loves.
Tell me about despair, yours, and I will tell you mine.
Meanwhile the world goes on.
Meanwhile the sun and the clear pebbles of the rain
are moving across the landscapes,
over the prairies and the deep trees,
the mountains and the rivers.
Meanwhile, the wild geese, high in the clean blue air,
are heading home again.
Whoever you are, no matter how lonely,
the world offers itself to your imagination,
calls to you like the wild geese, harsh and exciting--
over and over announcing your place
in the family of things.