The Collaborative International Dictionary of English v.0.48:

Deign \Deign\ (d[=a]n), v. t. [imp. & p. p. Deigned (d[=a]nd);
   p. pr. & vb. n. Deigning.] [OE. deinen, deignen, OF.
   degner, deigner, daigner, F. daigner, fr. L. dignari to deem
   worthy, deign, fr. dignus worthy; akin to decere to be
   fitting. See Decent, and cf. Dainty, Dignity,
   Condign, Disdain.]
   1. To esteem worthy; to consider worth notice; -- opposed to
      disdain. [Obs.]
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            I fear my Julia would not deign my lines. --Shak.
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   2. To condescend to give or bestow; to stoop to furnish; to
      vouchsafe; to allow; to grant.
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            Nor would we deign him burial of his men. --Shak.
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The Collaborative International Dictionary of English v.0.48:

Deign \Deign\, v. i.
   To think worthy; to vouchsafe; to condescend; - - followed by
   an infinitive.
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         O deign to visit our forsaken seats.     --Pope.
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         Yet not Lord Cranstone deigned she greet. --Sir W.
                                                  Scott.
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         Round turned he, as not deigning
         Those craven ranks to see.               --Macaulay.
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   Note: In early English deign was often used impersonally.
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               Him deyneth not to set his foot to ground.
                                                  --Chaucer.
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WordNet (r) 3.0 (2006):

deign
    v 1: do something that one considers to be below one's dignity
         [syn: condescend, deign, descend]

Moby Thesaurus II by Grady Ward, 1.0:

40 Moby Thesaurus words for "deign":
   OK, accede to, accept, accord to, agree, agree to, approve,
   approve of, assent, be willing, concede, condescend, connive at,
   consent, consent to silently, descend, endorse, give consent,
   go along with, grant, have no objection, hold with, lower oneself,
   nod, nod assent, not refuse, okay, permit, ratify, sanction,
   say aye, say yes, stoop, take kindly to, vote affirmatively,
   vote aye, vouchsafe, wink at, yield, yield assent