避忌 is read as ひき (hiki) and means evasion.
ひき
hiki
きひ
evasion
さいばんかんきひ
challenging a judge
へいえききひ
draft evasion
ちょうへいきひ
ちょうへいきひしゃ
draft dodger
ひなん
taking refuge
さける
to avoid (physical contact with)
ひにん
contraception
ひしょ
escaping the summer heat
ひなんみん
evacuees
ひびょういん
isolation hospital
さけてとおれない
cannot be avoided (of a problem, etc.)