Outdoor rhymes with:
amador, backdoor, bedore, commodore, ecuador, el-salvador, humidor, indoor, isidore, labrador, matador, oradour, parador, salvador, san-salvador, stevedore, theodore, troubadour
Outdoor sounds like:
o'dwyer, odder, oder, odier, odor, odwyer, oteri, otero, other, otter, outer, outerwear