Perhaps you would expect me to respond with a "of course, you should trade"....but I am not going to.
At your age you might want to think about the situation this way.....your job may or may not last....you may or may not continue to be happy there (it sounds doubtful based on what you have said)....you may or may not be able to find another similar paying job in today's (horrible) job market....now....
Do you want to stay there and be concerned about this woman who you think said something bad about you? How will your health (mental and otherwise) hold up with the daily stress from irritation and anxiety?
Will having a house payment help? Will housing prices hold? Do you want to be locked into a job to pay for a house that you may not want in a couple of years....?? Is the lovely lady going to care for you any less if you rent for a couple of more years while you figure it out? If she does (and I am sure she will care for you no matter what your decision is), then look out!
Buying a house is a double edged sword. In many parts of the Country you can rent a much better house for the same money as a house payment that may be mostly interest anyway.
Is the $100K any safer in real estate than in a trading business (probably by most standards)?
Perhaps buy the house, put your equity to work with a small amount of trading money (if this is your passion) .
I think that the decision is more whether you can stomach working somewhere where you think you are not wanted (that's why I have to work for myself...

....or whether you can stomach the risk of being on your own in a business venture. Whether it be trading or running a software company, entrepreneurs have bigger risks and much bigger rewards.
Try to find a compromise, perhaps rent a place for a year or two, and see where your life takes you, job wise and happiness wise.
Just my 2 cents!! Good Luck!