I did the weekly Gambit milestone to get a line on how long it would take to do the other steps, and at a guess, I will, as a crappy Gambit player, will finish all of them in something like 12-15 matches, conservatively. (I'm not exactly burning up the multi-kills, but I'm over halfway through the challenging enemies one.)
The 40 matches requirement is a bit out of tune to the rest of them. At the pace I am going, I'm going to have over a thousand challenging enemy kills by the time I hit 40 matches.1100 or so enemy kills. Even with my low multi-kill pace I'm going to hit 240 of those. It's not difficult, but 20 is far more in keeping with the numbers you need for the rest of the quest. I mean, four matches a day you get it in 10 days, but I can see why people would afk a few.
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I played only 5 matches today, and already I have 119 challenging enemies defeated. At this rate I will have well over 4,000 of these enemies killed by the time I complete 40 matches.