Not for that small of an amp.. Honestly for a 200 watt RMS amp I would be surprised if it drew more than 30 amps at full throttle using 10 awg. If you are going to run more or bigger amps in the future I suggest using a 4 awg amp kit.. Bigger wire = less amp draw on the electrical system. Something else you might consider is the " big 3 " wiring upgrade it will help minimize your light dimming which would be almost non existent with your amp anyway. I have done all this in my brat pushing somewhere around 600 watts continuous at one point and never had dimming issues.
Anyway back on topic I do try to use the bigger is better method with car stereo wiring.. Not overkill by any means so maybe 8 awg would work if you are not going to upgrade later. As for speaker wire I never use less than 12 AWG but beware the 12 gauge stuff at many stores is more like 14 .. Shop around a bit amazon, partsexpress or a car audio shop local to you.
Running your power wires I run them down the same side as the battery under the carpet and down the trim. RCAs and speaker wire down the opposite side. The important thing for humm or alt whine is to make sure your grounds are good.. From the deck and also with the amp.. That is where 75% of noise is introduced. Fusing your amp as long as your using appropriate power wire 200 watts divided by 13 volts ( car running) = 15.4 amps if my equation is right so you should be able to run a 25 amp fuse.
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