How to find my way in this proof (fitch natural deduction proof) P → ¬Q, ¬Q → P ∴ ¬(Q ↔︎ P) 
Hello all, I am very stuck in this proof. I'm still pretty much new to logic but I'm trying to get better at proofs with doing a bunch of practice proofs and this is one of them. It seems like I just can't find my way. Can anyone show me how to continue or whether I am correct up to now to begin with? Thank you. I would really appreciate if someone could show me visually.
The rules I use: ∧Intro, Elim,
∨Intro, Elim,
Conditional and bi-conditional rules
Reductio, negation elim, X, DS.

As correctly pointed out by the OP and in the comments here, this argument is provable. It was indeed possible to find a proof.
Here is one possibility using Fitch-style natural deduction system:

