I would be very concerned. A 2.3 is a C average. It's not the number alone that's the problem, it's your work ethic and mastery of the relevant material.
To the person evaluating your application, there are three possibilities:
1.) You have straight C's in everything, including your major courses, which would make me concerned you wouldn't be prepared for the research and either unable to be productive, would require too much time to train, or wouldn't gain much from the experience.
2.) You've done very well in your major courses but failed general education courses. Well, that's good for understanding of the material, but what does it say about your work ethic if you've failed extremely easy courses like 100-level English and history? It will make them worry that you're lazy and consider certain tasks beneath you despite the expectation that you do them.
3.) You've flunked major courses but are propping up your GPA with easy courses. This will make it look like you're the sort of student who only cares about the grade, and by extension only cares about research experience for your resume, plus the other concerns about mastery of course content.
It's the first I'm most concerned about. Maybe you should spend a semester or two bringing that GPA up and passing some classes before you start looking for research.