あれは朝にラブホから出るのを目撃されるかのごとく気まずかった。

。

That was as awkward as being spotted leaving a love hotel in the morning.

Literal

That [topic-は] morning [at-に] love-hotel [from-から] exit [obj-を] witnessed-[passive-される] as-if awkward-was.

ラブホ is the clipped slang for ラブホテル 'love hotel.' かのごとく 'as if / as though' is a literary/formal simile marker (classical かの + ごとく). 目撃される 'to be witnessed' is the formal passive of 目撃する. 気まずい 'awkward / uncomfortable.' The humor lies in the contrast between the literary かのごとく and the vulgar ラブホ context.