Hmm, this happens with most of us freelancers, you cannot clearly explain the problem we are going through, and this has created problems even for me.
The best way is to sort it out, talk to your client and have a midway solution. Like take some time to read flash may be.
Just tell your client that you don’t have the licensee for the software required for updating her site.
If she wants a flash site, and you don’t know any flash, you can either:
#1 step out
#2 take the 50cents an hour project so you can learn flash (but chances are it will take you quite some time to get to a point where your productive in flash).
On the other hand, I never seen an HTML site remade in Flash that was a good idea. And I worked on quite a few of them… not by choice, but the client’s always right.
Example: there was this DJ site, (something Buzz), with some 10k visitors a day. DJs could put their music there, fans would rate it and so on. The site was REAL bad, with about 20 iframes on the home page, and so on. But people liked it.
Then, the owner got the bring idea to remake it into flash, and asked me for a quote. I told him that the change will kill his site, explained why, and I thought I convinced him to keep it or remake it in HTML.
Then, 6 months later, he comes back to me, to update it. I was all flash. But, from the 10k visitors a day, it now had about 50… and it was nowhere to be found in google, beside the home page.
So, flash is to make a site pretty, use flash like you use images, not to remake the entire thing.