Algae

I have a 10 G glass tank with 2 small fantails. It is almost 3 months
now that i have this tank. I monitor all the water parameters and it
seems my tank has cycled well now. Aorund 2 weeks back i bought the
mini bonsai decoration for my aquarium and when i took it off yesterday
for routine cleaning i found it has become very slimy. Also I
discovered some light brownish spots on another plant leaves which were
removed upon light cleaning. All plantation is plastic in this tank & i
have a 24x7 external power filter with 90 gph o/p with bio cartridge...

I believe the slimy thing is algea and now my question is it is okay
for plants to be slightly slimy or should i start some algea control
right away. I do not wish to disturb OR bring down my painstakingly
cycled tank.

Every input will be appreciated.

Thanks
Kedar