If someone is bloody-minded, they make life difficult for other people on purpose. They will not help, they will not agree, and they seem set on being awkward. It is a British way of talking, a little old-fashioned, and a bit rude, though milder than it looks on the page. American speakers almost never use it like this. Though actually, the word used to mean something harsher: cruel, ready to hurt. That older sense is rare now. A British person who calls you bloody-minded today is saying you will not cooperate, not that you want blood.