VCT,
my sponsortype person and i sat down and talked about expectations of how to go through this process at our first meeting. they told me they would always get back to me, though not always shortly. though if it was an emergency they would for sure.
they got back to me shortly for days until they didn't.
for me, that was a really good start to "dealing with trust-issues", as it threw me for a bit of a loop. i had to look at how i immediately felt abandoned, like i couldn't rely on anybody , how nobody really cared, how i was much better off not trusting, how...blahblahblah.
and it's true; there is no person who won't ever "let you down". which is why the AA program is concerned with helping you find and rely on "a power greater than yourself" which you CAN rely on.
all that being said, you're starting your second week, and if you find she's too thin-spread timewise, tell her what you need and maybe she can give it or point you to someone who can or you will find the person who's more available.
and big congrats on day seven!