You can easily get married for under 10K, just don't expect anything ridiculous.
My sister got married at a register office, had the reception at a village hall (a very nice village hall), my grandfather did a simple ceremony in the hall, all the food was home made including the cake (luckily we have a rather good cook for a cousin), they hired a local jazz band who had their own speaker system etc and everyone brought their own booze (Be careful doing this, we ended up with so much Rum I'm surprised we all survived). They didn't do wedding presents and instead got people to pay for their honeymoon.
The reason people think weddings have to cost 20K or whatever is because they think they should be done a certain way, that you HAVE to have catering, that you HAVE to have a 3 course sit down meal, that you HAVE to hire a ridiculous venue. Not the mention the brides dress etc which is one of the leading suspects in the case of the great wads of money being thrown over a bridge.
Just to give you an idea, my sisters wedding cost 3K and she it was still amazing.