I was also having a hard time with that map too. When I won that map, I was able to save her(though took several tries and saving didn't help). She appeared on the map, the items weren't as good and only 1 of the items were discounted. Unless the items were better it would be worth it. Tip: have someone with a good movement and can dish out hits while holding it own helps.
3611-0324-9485 - Pokemon White No. of Shinies 4 Zigzagoon, Pidgeot, Spinda and Bidoof Caught PokeRus on 8/2/04
I'm not sure about the Discount but you can still recruit the Anna(it's a different one) in Paralogue 4 if the one in Paralogue 2 is killed. Though I find if she dies it's really difficult to save the village for the Physic Staff.
Took me like 8 tries I finally stopped using a strategy and just had Sumia run Chrom over to her as fast as she could 3 turns. Then they switched and he went crazy slicing Archer necks open. She barley made it but I am happy I saved here, poor girl was protecting innocent villagers.