Wayne, this is a type of customer you need to get the hang of dealing with, because they are the type you'll earn the most of your decent money from.
They do seem to come across a bit pushy but the reason is they've probably been cocked around and ripped off by tradesmen in the past. Try hard to stand your ground on pricing (she can afford it), do a good job, be very friendly, polite etc but without being submissive like a butler or she'll treat you like one. An air of confidence goes a long way, they need to see that in you.
Quite often once you've won their trust, these type of customer will be very loyal and you'll actually find they relax around you, selling decent priced work to them in the future is a doddle if you start off on the right foot.