In comments on this question ..What does it mean to abstain from blood in the 21st century?... A user stated that Christians must not eat rare meat because doing so violates the command in Acts 15:28&29 (keep abstaining from blood) I have not ever heard a person say:" make my steak well done I can't eat rare steak it is against my religion". Are there denominations that prohibit members from eating meat that still shows traces of blood in it?
If you google "Torah Christian", you may not find a denomination, per se, but you'll see several sites which support the notion that Christians must follow the Torah.
I have a friend who belongs to such a church (they're all "non-denominational", but loosely associate with each other) who maintains that Christians should not eat rare steak because there is still blood in it.
The problem with this stance is that, unless you are eating truly raw meat (eg off a freshly-killed rabbit before any cooking), there is [practically] no blood left in the meat, it's a combination of water and myoglobin.
Myoglobin is functionally similar to hemoglobin, but stores oxygen in muscles vs blood, respectively.
There are all kinds of reasons to eat (or not eat) rare steak - that "blood" is still in it is not one of them.