New faucet drain tailpiece does not align with existing pipes
	
	
		I simply installed a new faucet & drain pipe for my existing bathroom sink, but now the drain tailpiece does not align with the existing pipes.  This doesn't make sense to me, since the drain tailpiece is a straight pipe, but whatever.  Do I have to replace the trap, etc. now to make everything fit?  Reusing the original drain/tailpiece is not an option since it disintegrated when I pulled it out.  BTW, I can't move the sink/countertop because it is screwed into the wall & grouted in place.
Thanks.