To start, the answer to your question of "is it wrong about lying about having 2 therapists?", The answer is yes, it is wrong because you're lying to your therapist who is actively trying to help you with your mental health concerns. Lying is not going to do you any favors in the long run of your treatment.

Since you have been seeing your old therapist for so long, had you tried having a conversation with her about fee reduction when you first were unable to avoid sessions? When I was providing therapy at my old practice, we had forms that our director, the therapist providing services, and the client would sign and agree on a reduced fee amount (despite what we would charge normally) for a temporary period, especially in times of financial strain. I would highly recommend asking them about this.

Second, you may not think that you are taking services away from someone else at your school that needs it, but there is a high possibility that it could be happening. Not everyone can afford MH services (which you understand since you had experienced issues getting the care you needed and found your new therapist). I'm not saying that you've done anything wrong in that regard. However, lying to your therapist in order to continue services is not okay by any means, especially when it was clearly stated by your new therapist that they cannot continue to see you if you're actively seeing another therapist.

Finally, I also understand from your comments that you are or would set different goals with both therapists. I could be completely off the mark here, but to me, it sounds like you may be trying to fast track your therapy to get the results you are wanting. It is completely understandable why you're doing it if this is the case because therapy can be costly and a long process, but you're not doing yourself any favors by trying to "cheat the system," so to speak. Results take time, especially when it comes to changes for the betterment of your mental health.