Okay…so here’s a (very brief) background:
I graduated in December (2015) from UTK with a BS in Animal Science/biology minor and my heart set on going to veterinary school this fall. My GPA was 3.81, I was part of an honor’s society, did my time “gaining clinical experience” and volunteering. My GRE was pretty standard–nothing phenomenal because I was currently taking a summer biochem class. My letters of recommendation were very good, from what I heard.
I didn’t get in because I “didn’t have enough experience in large animal medicine”. I’ve had experience in school, but apparently it wasn’t enough. And it’s been proving VERY difficult to find any large animal vets around where I live, the ones I do find don’t go out all the time (they usually work at combined small & large animal clinics), and when they do they spend a solid 12-hours out…meanwhile I’m neither getting paid nor allowed to do much in the way of helping. It’s just been a negative experience for me. And finding internships has also proven difficult because I “need experience” before getting in, too. So…
I’m thinking of switching my goals entirely. Either to PH (with a focus on epidemiology) because (to summarize) I think that kind of work is crazy cool and interesting. OR to clinical psych because I’ve always loved listening to other people & their issues and trying to help them through it.
ANYWAY, I’m having a hard time trying to figure out what would be easiest in terms of trying to “start from the beginning” without already having a BS degree, what would open up more career opportunities for me, and also how on earth I’m supposed to go about trying to gain “experience in the field” before applying.
Any help, advice, tips, or any “in hindsight” opinions would be GREATLY appreciated. 
If your question is about which one is easier to start from where you currently are, the answer is definitely epidemiology. Public health is an interdisciplinary field and biology is very closely related to epidemiology; veterinary science is also actually a pretty heavy public health area (the health and well-being of animals is useful and necessary from a bunch of angles; animals spread disease but we also have them in our diet). With psychology you would have to take coursework in psychology.
If the question is which one offers more career opportunities, the answer is also definitely epidemiology. A master’s in clinical psychology doesn’t really qualify you to do anything - you can’t be a therapist with it. (For that you would need a master’s in mental health counseling, an MSW, or a PhD in clinical or counseling psychology). But an MPH in epidemiology does qualify you for work as a field epidemiologist.
If you are interested in both, here are some other suggestions:
-Psychiatric-mental health nurse practitioner (PMHNP). NPs are primary care providers who have a master’s degree in nursing (MSN) and are licensed in psychiatric-mental health. They provide primary mental health care to people who need it and can prescribe medication. There may be some prerequisites you need to take - like anatomy and physiology - but as a biology minor you may have already taken most of the classes you’d need to get into a direct-entry MSN program, which is usually 3 years.
-Nurse epidemiologist - I think they tend to have a regular BSN + some time in a hospital, or sometimes a BSN + MPH. You could do a 1.5-year accelerated BSN program to get to here.
-Genetic counseling. Genetic counseling combines principles of biology (understanding genetics) and psychology to help families who want children understand their potential genetic risks and plan for a family.