Right to the launch of Rise of Iron much new gear was introduced and the light level of older ones has been increased and so has the Queen's Wrath armor. Right now there are only limited methods to increase the reputation and these methods only give a small amount of rep.
These methods are 1) Doing the Queen's Wrath bounties which give you 1000 rep per week (3 weeks for one rank up) and 2) Using etheric light (1=150 rep) to slowly rank up.
Therefore it would take several month to complete an armor set for one character and even up to a year with really bad rng or if you want decent rolls on the armor pieces.
My suggestions would be to make the Queen's Wrath bounties daily instead of weekly, adding more bounties(from 3 to maybe 5), increasing the amount of rep per week(1k to 3k - more difficult to complete?) or adding new ways to gain the needed reputation.
Let me know what you think and write down how the Queen's Wrath Reputation system could be improved and perhaps Bungie picks up some ideas and includes them in future updates.
Edit 1: For those who think the Queen's Guard armor set is year 1 exclusive: http://db.planetdestiny.com/items?q=Queen's%20guard&expansion=roi
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The grind for the queens armor has been ridiculous with the limited ways to get reputation. Maybe they should bring back the wolves and their bounties, since the grinding of their public events was much more fun than taken imo.