My ex-colleague (let's call her C) in the Lab is now a faculty member at a university. We have collaborated before in our work. Our works are similar in the methodology but different in the topic. In other words, in her dissertation, she used method X to solve a problem in topic Y. In my work, I will use a variation of X to solve topic Z.
C is now planning to write a research grant proposal about my topic and she asked me to help her in preparing for the proposal. C and my advisor (her ex-advisor) will be the PIs in the proposal. I asked C to include my name (as PI or any other way) because this is my work and I have already a published paper about it but C said that only faculty members can be included. But I feel that if I'm not included in the proposal in any way, my work will be stolen because C tries to get her students in her university to work on my idea.
If the funding is approved, I am afraid that they might hire someone else to work on my idea and then probably I won't be the first author anymore or maybe not included in the publication at all because both of them know my idea very well.
I'm new to the funding stuff so please help me. I might be overthinking about it.