I've been playing WoW for a lot of years, and the requirements have slowly been sneaking up with every xpac. People that were doing ok at the bottom hardware end last xpac, found they were mostly out of luck since legion, and 7.1 hasn't made things any better (worse if anything).
I'd say you could hobble around Stormwind ok, but you'll soon find your self in unplayable or at least struggling situation in most dungeons and raids. Maybe you can get by keeping everything on the lowest settings.
Personally I wouldn't recommend it if you have any choice in the matter. If not, no harm in trying.
One thing to note is, the loading screen boss seems shocking on anything with out a fast HDD/SSD this xpac. So don't be alarmed if your waiting quite a lot.
I think the minimum requirement these days is around a HD 5000, not too sure what that laptop has.