"Abstract Algebra" is a deliberately scary name intended to weed out those not truly serious about mathematics. This is why it is a weeding course. If you can't hack it, please rethink your career goals! After that, it's just linear algebra or maybe even just algebra. Hang in there long enough and you may start talking about "an" algebra.

Significantly Tongue-in-Cheek :-)

Seriously, it has been impossible to "order" mathematics since about 1900 at the very latest. Various branches grow, seemingly separated, until they absorb each other. You DO have to get used to it. As great as is the depth of mathematics, its breadth may be even greater.