Taking the eggs out wont make her try to lay more - birds will only lay every 2 weeks or so (not like chickens who will lay most every day). When I had my doves and finches, I would take the eggs out, they would go back to normal, then 2 weeks later would start all over again.
For the doves - I had to females, both would lay 4 each, then set. I took all eggs away (they usually squished them since they both wanted to set on them) and again, 2 or so weeks later, they would lay again. They were very healthy and happy.
Anyway, point of all that....You will be fine taking the eggs away. It wont hurt her, and she wont kill herself trying to lay more...