It's clear from her past, or at least what you have told us, that she has serious issues when it comes to finances and frivolous spending, which she obviously thinks you're doing. And she's afraid that if she likes you too much, which you are now saying she is since she said she loved you or whatever, then she doesn't want your's relationship to become the same as her parents. Unfortunately, there is nothing you can do about that. You are not a professional therapist.
My advice is you let her cool down a bit, day or two, and then try to get together some place; where ever she feels comfortable. Then sit her down and tell her everything. Tell her how much money you have, what your budget is, and what you do to not let it get out of control. If after all of that, she still has doubts and doesn't trust you, then it's over. Relationships are built on trust, and if she doesn't have any for you, then there can never be anything solid.
Having said all of this, based on what you have told us, it sounds like her fears are so rooted, that there is a good chance she won't ever be accepting of your collecting habits whatsoever for as long as you are together. You might be able to convince her and make her feel better, but all of this will start all over again the second buy something else. At that point you will have a choice to make.