A writer is someone who writes, if not for a living, at least every day. It doesn't matter if they are published yet. Similarly an entrepreneur is someone who is actively building a business.. it doesn't matter if they are successful yet.
You can, of course, put whatever the heck you like on your own home page. But if it makes you twitch then maybe stick with web architect for now, and get out there and start building your business. Once you feel you are building a real business you'll be happy to use the word entrepreneur. I suggest you use this as a motivation to get out there and do what you want to do. Let the phrasing on the portfolio/profile site look after itself.
In my mind building a business means more than just having a tax vehicle around your own personal consultation services. A consultation services business probably has other employees. Once you are building a business that is designed to actually create and sell something (whether it be service or product) then be proud to use the word entrepreneur. Till then, stick it up on the fridge as a goal !
--- signed, someone who alternates between writing 'Entrepreneur' and 'Programmer' on the immigration forms each time I travel, depending on whether I'm currently actively building a startup or just living off my consultation services.