tl;dr - there's a surplus of people who have computing degrees, but a shortage of people who are actually good at the job. Prove you are, or will be, in the latter group.
Your degree is not a passport to specific jobs, neither does it confine you to relevant ones and nor does having the "wrong" one exclude you from many jobs. Most employers understand that a new graduate is still a very raw individual and there will be a long process of learning how things work in the real world. I regularly interview software engineer candidates and I have never turned anyone away for not having Computer Science - indeed some of our best developers did other subjects like physics, chemistry and maths. What matters is your potential to learn our job and do it well.
What you need to do is:
- decide what job you actually want
- find as many potential employers as possible who fit this criterion and enquire about what they expect. Talk to employees about how they got there.
- get involved with things outside your degree. Join coding meetups, contribute to OSS projects, do hobby projects, anything where you're actually doing what you want to be doing long-term.