"obstensibly" is misspelled.
Here are some suggestions:
obsessively
obscenity
absents
observably
abstains
obstetrically
abstrusely
obscenest
observingly
obsess
obsessing
obsessive
abstrusity
obsession
obstinately
Honestly, I have no idea what "obstensibly" means; nor does spell check. I do know that many people are obstinately obsessing over the alleged obscenity of our border policy with the President observably absents himself. Is that what you meant to say?
ostensibly
One entry found for ostensibly.
Main Entry: os·ten·si·bly
Pronunciation: -blE
Function: adverb
1 : in an ostensible manner
2 : to all outward appearances