She says she blesses your pet... exactly how? Is there a possible new color, or does she raise their levels?

She changes you pet's color to Hydrus

I just did her quest and the items she asked me for came up to a total of about 9K.

she gives you a quest. You complete it, the pet you chose becomes a hydrus.

Luckily my quest only cost me around 30k. And the maps altogether costed my around 500k.

but if she asks for high priced items can you reject it or does it run out of time.

If it's possible, how do you reject the quest?