While you can't get married to any NPC, race and gender doesn't matter, and there are many optional suitors out in the world - including many characters you'll come across during quest lines - and it might be more enjoyable to keep it equipped and play the game as normal, waiting until you find a partner naturally.
Now, talk to NPCs out in the world, and you'll know they are interested when they notice the Amulet on you. To find a marriage partner, you need to equip the Amuletof Mara, signalling that you are available.
How to find a marriage partner and get married in Skyrim Speak to him about Mara, and after a bunch of dialogue options, he'll tell you about marriage and offer you the Amulet of Mara for 200 gold. Marmal should be in one of two places either in the Temple of Mara (from where you enter the city from its main entrance, it's located straight ahead, then on the left) or in The Bee and Barb traverse (in the centre of town, by the market stalls). Once you've at Riften (if you've yet to visit, then grab a carriage from outside any major city to travel for a small cost) and locate someone named Marmal.
The first step to marriage is getting the Amulet of Mara, and the easiest way is from Riften, where all marriages take place. Watch on YouTube Where to get the Amulet of Mara